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1041:) and from 1966 to 1973, he served as its director. When the institute was established in 1966, it consisted of three departments: Mathematical Methods in Theoretical Physics (Head: Academician Ostap Parasyuk), Theory of the Nucleus (Head: Oleksandr Davydov), and Theory of Elementary Particles (Albert Tavkhelidze). In 1968, the institute organized the Department of Nuclear Reaction Theory (Head: Oleksiy Sytenko).
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Fundamental works of
Nikolay Bogolyubov were devoted to asymptotic methods of nonlinear mechanics, quantum field theory, statistical field theory, variational calculus, approximation methods in mathematical analysis, equations of mathematical physics, theory of stability, theory of dynamical systems,
686:
Distinctive features of the Kyiv School approach included an emphasis on the computation of solutions (not just a proof of its existence), approximations of periodic solutions, use of the invariant manifolds in the phase space, and applications of a single unified approach to many different problems.
823:
In 1945, Bogolyubov proved a fundamental theorem on the existence and basic properties of a one-parameter integral manifold for a system of non-linear differential equations. He investigated periodic and quasi-periodic solutions lying on a one-dimensional manifold, thus forming the foundation for a
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in 1921, where they continued to live in poverty as the elder
Nikolay Bogolyubov only found a position as a priest in 1923. After finishing the seven-year school, Bogolyubov independently studied physics and mathematics, and by the age of 14, he was already participating in the seminar of the
1115:
Nikolay
Bogolyubov was married (since 1937) to Evgenia Pirashkova. They had two sons – Pavel and Nikolay (jr). Nikolay Boglyubov (jr) is a theoretical physicist working in the fields of mathematical physics and statistical mechanics. Pavel was a theoretical physicist, Doctor of Physical and
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560:. Mykola received his initial education at home. His father taught him the basics of arithmetic, as well as German, French, and English. At the age of six, he attended the preparatory class of the Kyiv Gymnasium. However, he did not stay long in the gymnasium—during the years of the
659:
Prize in 1930, and the author was awarded the erudite degree of doctor of mathematics. This was the period when the scientific career of the young
Nikolay Bogolyubov began, later producing new scientific trends in modern mathematics, physics, and mechanics.
1549:
the dispersion relations in elementary particle physics. He suggested a new synthesis of the Bohr theory of quasiperiodic functions and developed methods for asymptotic integration of nonlinear differential equations which describe oscillating processes.
663:
Since 1931, Krylov and
Bogolyubov worked together on the problems of nonlinear mechanics and nonlinear oscillations. They were the key figures in the "Kyiv school of nonlinear oscillation research", where their cooperation resulted in the paper
809:, or even a process which is neither deterministic nor stochastic. In other words, he showed that depending on the choice of the time scale for the corresponding approximations the same stochastic process can be regarded as both dynamical and
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1946 Developed a general method for a microscopic derivation of kinetic equations for classical systems. The method was based on the hierarchy of equations for multi-particle distribution functions known now as
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on mathematical problems of nonlinear mechanics and developed mathematical methods for asymptotic integration of non-linear differential equations. He also applied these methods to problems of statistical
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And this can explain, as the authors believe, the need to shape the collection of problems of non-linear perturbation theory into a special science, which could be named NON-LINEAR MECHANICS.
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1160:, and many other students. His method of teaching, based on creation of a warm atmosphere, politeness and kindness, is famous in Russia and is known as the "Bogolyubov approach".
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On 26 January 1953, Nikolay
Bogolyubov became the Head of the Department of Theoretical Physics at MSU, after Anatoly Vlasov decided to leave the position on January 2, 1953.
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870:). While working in the Steklov Institute, Nikolay Bogolyubov and his school contributed to science with many important works including works on renormalization theory,
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N. N. Bogoliubov and N. M. Krylov (1937). "La theorie generalie de la mesure dans son application a l'etude de systemes dynamiques de la mecanique non-lineaire".
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1578:. This theorem in the theory of functions of several complex variables has important implications to the dispersion relations in elementary particle physics.
636:), the highest degree in the Soviet Union, which requires the recipient to have made a significant independent contribution to his or her scientific field.
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In 1956, at the
International Conference on Theoretical Physics in Seattle, USA (September, 1956), he presented the formulation and the first proof of the
734:), most institutes and universities from the western part were evacuated into the eastern regions, far from the battle lines. Nikolay Bogolyubov moved to
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In autumn 1943, Bogolyubov came from evacuation to Moscow and on 1 November 1943 he accepted a position in the
Department of Theoretical Physics at the
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Gold Medal of
Lyapunov (1989) – for his work on sustainability, critical phenomena and phase transitions in the theory of many interacting particles
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for a derivation of kinetic equations, formulated microscopic theory of superfluidity, and made other essential contributions. Later he worked on
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proved the theorem on the finiteness and uniqueness (for renormalizable theories) of the scattering matrix in any order of perturbation theory (
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In 1936, M. M. Bogolyubov was awarded the title of professor, and from 1936 to 1940, he chaired the
Department of Mathematical Physics at
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Vladimirov, V. S.; Zharinov, V. V.; Sergeev, A. G. (1994). "Bogolyubov's "edge of the wedge" theorem, its development and applications".
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and established an analogy between superconductivity and superfluidity phenomena; this contribution was discussed in details in the book
998:. This laboratory, where Nikolay Bogolyubov worked for a long time, has traditionally been the home of the prominent Russian schools in
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and headed the Department of Probability Theory at the Institute of Mathematics of the Academy of Sciences of the Ukrainian SSR (now –
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2080:"On Question about Superfluidity Condition in the Nuclear Matter Theory" (in Russian), Doklady Akademii Nauk USSR, 119, 52, 1958.
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1038:
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703:
576:). From 1919 to 1921, he studied at the Velykokruchanska seven-year school – the only educational institution he graduated from.
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Fokker–Planck equations generated in perturbation theory by a method based on the spectral properties of a perturbed Hamiltonian
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2086:"On Compensation Principle in the Method of Self conformed Field" (in Russian), Uspekhi Fizicheskhih Nauk, 67, N4, 549, 1959.
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2001:
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extended this method to the derivation of kinetic equations for quantum systems on the basis of the quantum BBGKY hierarchy.
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two works on equilibrium and non-equilibrium statistical mechanics which became the essence of his fundamental monograph
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This early period of Bogolyubov's work in science was concerned with such mathematical problems as direct methods of the
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49:
813:, and in the general case as a non-Markov process. This work was the first to introduce the notion of time hierarchy in
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1993:
1963:
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939:) of the Academy of Sciences of the Ukrainian SSR and in full member of the Academy of Sciences of the USSR in 1953.
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Levitan, B. M. (1994). "On the work of Nikolai Nikolaevich Bogolyubov in the theory of almost periodic functions".
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374:
862:. In 1969, the Department of Theoretical Physics was separated into the Departments of Mathematical Physics (Head
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which then became the key concept in all further development of the statistical theory of irreversible processes.
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2083:"On One Variational Principle in Many Body Problem" (in Russian), Doklady Akademii Nauk USSR, 119, N2, 244, 1959.
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Mathematical Sciences, senior researcher, and head of the sector at the Laboratory of Theoretical Physics of the
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was used to show that depending on a specific approximation time scale the evolution of the system can be either
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In 1939, he was elected a corresponding member of the Academy of Sciences of the Ukrainian SSR (since 1994 –
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of the Academy of Sciences of the Ukrainian SSR (now – Bogolyubov Institute for Theoretical Physics of the
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2089:"The Quasi-averages in Problems of Statistical Mechanics" (in Russian), Preprint D-781, JINR, Dubna, 1961.
1018:
In the post-war years, M. M. Bogolyubov worked as the dean of the Faculty of Mechanics and Mathematics at
858:
In 1947, Nikolay Bogolyubov organized and became the Head of the Department of Theoretical Physics at the
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point of view, the key achievement of the Kyiv School was the development by Krylov and Bogolyubov of the
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N. M. Krylov and N. N. Bogolyubov, New methods in non-linear mechanics, ONTI GTTI, Moscow-Leningrad, 1934
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N. Bogolubov, B. Struminsky, A. Tavkhelidze. On composite models in the theory of elementary particles.
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20:
706:). In 1940, after the reunification of Northern Bukovyna with Ukraine, Nikolay Bogolyubov was sent to
672:(1937; translated to English in 1947) leading to a creation of a large field of non-linear mechanics.
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2167:
2147:
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902:
898:
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280:
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2744:; et al. (1969). "Nikolai Nikolaevich Bogolyubov (on the occasion of his sixtieth birthday)".
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and Yu. V. Blagoveshchensky, and in probability theory and mathematical statistics, I. I. Gikhman.
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Bogoliubov, N. N. (1948). "Equations of Hydrodynamics in Statistical Mechanics" (in Ukrainian)".
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1010:, and nonlinear mechanics. Nikolay Bogolyubov was Director of the JINR in the period 1966–1988.
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1545:, obtained important results in quantum electrodynamics, and investigated on the basis of the
655:. This earlier research had already earned him recognition. One of his essays was awarded the
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1466:) for scientists with outstanding contribution to theoretical physics and applied mathematics
1450:) for scientists with outstanding contribution to theoretical physics and applied mathematics
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In the period 1943–1946, Bogolyubov's research was essentially concerned with the theory of
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Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine
2092:"On the Hydrodynamics of a Superfluiding" (in Russian), Preprint P-1395, JINR, Dubna, 1963.
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Gold Medal Lavrent'ev (1983) – for his work "On stochastic processes in dynamical systems"
8:
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3064:
Zav'yalov, O. I. (1994). "Bogolyubov's R-operation and the Bogolyubov-Parasyuk theorem".
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of Nikolay Bogolyubov's birth was celebrated with two conferences in Russia and Ukraine:
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Commemorative plaque at the entrance of the Physics Department of Moscow State University
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In 1924, at the age of 15, Nikolay Bogolyubov wrote his first published scientific paper
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Nikolay Mikhaylovich Bogolyubov, and Olga Nikolayevna Bogolyubova, a teacher of music.
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in the Steklov Mathematical Institute, Moscow, Russia (created by Nikolay Bogolyubov).
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2953:(1994). "On the contribution of N.N. Bogolyubov to the theory of dynamical systems".
2942:
2878:
2849:; Vladimirov, V. S. (1989). "Nikolai Nikolaevich Bogolyubov (on his 80th birthday)".
2816:; et al. (1979). "Nikolai Nikolaevich Bogolyubov (on his seventieth birthday)".
2784:; et al. (1979). "Nikolai Nikolaevich Bogolyubov (on his seventieth birthday)".
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2680:(1959). "Nikolai Nikolaevich Bogolyubov (on the occasion of his fiftieth birthday)".
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2012:
1997:
1989:
1967:
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1944:
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International Bogolyubov Conference: Problems of Theoretical and Mathematical Physics
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2889:; et al. (1989). "Nikolai Nikolaevich Bogolyubov (on his eightieth birthday)".
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Lectures on Quantum Statistics. Problems of Statistical Mechanics of Quantum Systems
1637:, and used this analogy for a theoretical description of superfluidity of Helium II.
913:), and obtained other significant results. In the 1960s his attention turned to the
620:, equivalent to a Ph.D.) in 1928, at the age of 19, with the doctoral thesis titled
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Bogolyubov Kyiv Conference: Modern Problems of Theoretical and Mathematical Physics
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to organize mathematical departments at the Faculty of Physics and Mathematics of
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N. N. Bogoliubov, K. P. Gurov (1947). "Kinetic Equations in Quantum Mechanics".
1559:
In 1932–1943, in the early stage of his career, he worked in collaboration with
3212:
2918:
2712:; et al. (1970). "Nikolai Nikolaevich Bogolyubov (On his 60th birthday)".
2709:
2585:"Uber die Multiplikation der Kausalfunktionen in der Quantentheorie der Felder"
2541:
N. N. Bogoliubov (1958). "On a New Method in the Theory of Superconductivity".
1936:
1909:
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1817:
1720:
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Nikolay Bogolyubov received various high USSR honors and international awards.
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802:
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746:, remaining on these positions during the period of July 1941 – August 1943.
565:
471:
260:
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3300:
2369:
1034:
766:). Theoretical physicists working in the department in that period included
3333:
The role of Nikolay Bogoliubov in Dubna's Russian Orthodox Christian church
2257:"Outstanding Figures of Ukraine. Mykola Mykolayovych Bogolyubov. Biography"
1732:
1619:
1421:
Institutions, awards and locations have been named in Bogolyubov's memory:
1310:(1985) – for outstanding achievement in mathematics and theoretical physics
1141:
925:
810:
727:
633:
594:
460:
227:
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2990:
Boglyubov, Nikolay (1994). "N. N. Bogolyubov and statistical mechanics".
2275:
2172:
1634:
1192:
936:
931:
In 1946, Nikolay Bogolyubov was elected as a Corresponding Member of the
602:
On the behavior of solutions of linear differential equations at infinity
360:
308:
1738:
Suggested a first proof of dispersion relations in quantum field theory.
1541:
He built a new theory of scattering matrices, formulated the concept of
951:
3229:
2601:
2584:
2406:
1704:) for a practical subtraction of singularities in quantum field theory.
1288:
882:
794:
707:
535:
531:
133:
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Samoilenko, A. M. (1994). "N.N. Bogolyubov and non-linear mechanics".
1731:
model and introduced a new quantum degree of freedom (later called as
738:, where he became Head of the Departments of Mathematical Analysis at
666:
On the quasiperiodic solutions of the equations of nonlinear mechanics
3138:
Medvedev, B. V. (1994). "N.N. Bogolyubov and the scattering matrix".
2009:
Selected Works. Part II. Quantum and Classical Statistical Mechanics.
1501:
604:. In 1925 he entered Ph.D. program at the Academy of Sciences of the
169:
2398:
1954:
N. N. Bogoliubov, A. A. Logunov, A. I. Oksak, I. T. Todorov (1990):
1425:
N.N. Bogolyubov Institute for Theoretical Problems of Microphysics (
1054:
1033:
In the first half of the 1960s, Bogolyubov worked on organizing the
31:
2921:; et al. (1992). "Nikolai Nikolaevich Bogolyubov (obituary)".
2345:
2024:
Selected Works. Part III. Nonlinear Mechanics and Pure Mathematics.
1633:, showed that this spectrum has the same properties as spectrum of
1630:
875:
608:
under the supervision of the well-known contemporary mathematician
527:
523:
3487:
Academic staff of the Taras Shevchenko National University of Kyiv
2282:(Joint Institute for Nuclear Research). Retrieved 8 January 2012.
2384:
1508:
573:
550:
464:
231:
141:
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In the late 1940s and 1950s, Bogolyubov worked on the theory of
2295:
918:
866:), of Statistical Mechanics, and of Quantum Field Theory (Head
850:
542:
519:
468:
212:
3387:
Directors of the Bogolyubov Institute for Theoretical Physics
3307:
Bogolyubov Institute for Theoretical Problems of Microphysics
2620:
2481:
1728:
987:
921:; in 1965 he was among the first scientists to study the new
914:
2635:"Review: N. N. Bogolubov, A. A. Logunov and I. T. Todorov,
2616:
2543:
2522:
N. N. Bogoliubov (1947). "On the Theory of Superfluidity".
2503:
N. N. Bogoliubov (1947). "On the Theory of Superfluidity".
2484:
2444:
1793:
Asymptotic Methods in the Theory of Non-Linear Oscillations
1525:
762:(for a short period in 1944 the Head of the Department was
585:
557:
1885:
N. N. Bogoliubov, A. A. Logunov and I. T. Todorov (1975):
1863:
N. N. Bogoliubov, B. V. Medvedev, M. K. Polivanov (1958):
1629:, computed the excitation spectrum for a weakly imperfect
16:
Soviet mathematician and theoretical physicist (1909–1992)
3026:
1889:. Reading, Mass.: W. A. Benjamin, Advanced Book Program.
878:
theory, and works on the theory of dispersion relations.
735:
3316:
2844:
1625:
1947—1948 Introduced kinetic equations in the theory of
1596:
in the single scheme of classical and quantum mechanics.
1592:
gave the first consistent microscopic derivation of the
3512:
Eleventh convocation members of the Soviet of the Union
1553:
995:
695:
method for the analysis of nonlinear control problems.
624:. In 1930, at the age of 21, he obtained the degree of
454:
3492:
Seventh convocation members of the Soviet of the Union
3472:
Members of the National Academy of Sciences of Ukraine
3447:
Foreign fellows of the Indian National Science Academy
3442:
Foreign associates of the National Academy of Sciences
564:
from 1917 to 1921, the family moved to the village of
3497:
Eighth convocation members of the Soviet of the Union
2672:
2428:. Zapiski Kafedry Fiziki Akademii Nauk Ukrainian SSR
1878:. New York, Interscience. The first text-book on the
1271:
Academy of Sciences of the German Democratic Republic
1177:
541:
Six months after Mykola's birth, the family moved to
3507:
Tenth convocation members of the Soviet of the Union
3502:
Ninth convocation members of the Soviet of the Union
3452:
Foreign members of the Bulgarian Academy of Sciences
3437:
Fellows of the American Academy of Arts and Sciences
1769:
On various formal expansions of non-linear mechanics
1670:-matrix) in quantum field theory and introduced the
502:
3542:
Recipients of the Order of the Red Banner of Labour
3482:
Taras Shevchenko National University of Kyiv alumni
3467:
Members of the German Academy of Sciences at Berlin
2267:
1807:
On Some Statistical Methods in Mathematical Physics
1567:In 1937, jointly with Nikolay Krylov he proved the
1476:
Bust of Academician NN Bogolyubov (Nizhny Novgorod)
837:
Problems of dynamical theory in statistical physics
758:(MSU). At that time the Head of the Department was
56:. Unsourced material may be challenged and removed.
1958:. Dordrecht ; Boston, Kluwer Academic Publishers.
1841:N. N. Bogolubov and N. N. Bogolubov, Jnr. (1992):
1831:. Oak Ridge, Tenn., Technical Information Service.
1128:Nikolay Bogolyubov was a scientific supervisor of
1026:). His first students in nonlinear mechanics were
247:Significant contributions to nonlinear mechanics,
2280:N. N. Bogolyubov: K 100-letiyu so dnya rozhdeniya
1829:Problems of Dynamic Theory in Statistical Physics
1603:, which is significant for statistical theory of
1013:
507:Nikolay Bogolyubov was born on 21 August 1909 in
3418:
3215:(1994). "The Bogoliubov renormalization group".
2540:
2521:
2502:
2462:
2441:
990:, Russia, where he was a founder (together with
3457:Full Members of the Russian Academy of Sciences
3303:of the National Academy of Sciences of Ukraine.
2544:Journal of Experimental and Theoretical Physics
2485:Journal of Experimental and Theoretical Physics
2445:Journal of Experimental and Theoretical Physics
1822:A New Method in the Theory of Superconductivity
1646:A New Method in the Theory of Superconductivity
2637:Introduction to axiomatic quantum field theory
2632:
2463:N. N. Bogoliubov (1946). "Kinetic Equations".
2442:N. N. Bogoliubov (1946). "Kinetic Equations".
2039:Selected Works. Part IV. Quantum Field Theory.
1887:Introduction to Axiomatic Quantum Field Theory
1865:Problems in the Theory of Dispersion Relations
1439:Bogoliubov Laboratory of Theoretical Physics (
3372:
3063:
2562:N. N. Bogoliubov, O. S. Parasyuk (1955). "".
2108:Bogolyubov-Born-Green-Kirkwood-Yvon hierarchy
1914:Introduction to the Theory of Quantized Field
1843:Introduction to Quantum Statistical Mechanics
1613:Bogoliubov–Born–Green–Kirkwood–Yvon hierarchy
845:
3462:Full Members of the USSR Academy of Sciences
3317:Bogolyubov Laboratory of Theoretical Physics
3301:Bogolyubov Institute for Theoretical Physics
3265:(2001). "N. N. Bogoliubov and mathematics".
2780:
2233:"Nikolai Nikolaevich Bogolyubov - Biography"
1678:-matrix in terms of variational derivatives.
1432:Bogoliubov Institute of Theoretical Physics
1242:Order "For merits", 2nd class (Poland, 1977)
717:
2812:
2070:Sbornik Trudov Instituta Matematiki AN USSR
1662:1955 Developed an axiomatic theory for the
1652:, Moscow, Academy of Sciences Press, 1958).
1083:. Unsourced material may be challenged and
459:; 21 August 1909 – 13 February 1992) was a
3379:
3365:
3261:
3174:
2740:
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1956:General Principles of Quantum Field Theory
1916:. John Wiley & Sons Inc; 3rd edition.
1867:. Institute for Advanced Study, Princeton.
1648:(co-authors V. V. Tolmachev and
579:
168:
3477:Academic staff of Moscow State University
3228:
2989:
2885:
2654:
2600:
2583:N. N. Bogoliubov, O. S. Parasyuk (1957).
1986:Selected Works. Part I. Dynamical Theory.
1479:Bust of Academician NN Bogolyubov (Dubna)
1291:l "For service to science and humanity" (
1103:Learn how and when to remove this message
622:On direct methods of variational calculus
116:Learn how and when to remove this message
3137:
1771:. Kyiv, Izdat. Zagal'noukr. Akad. Nauk.
1640:1958 Formulated a microscopic theory of
1599:1945 Suggested the idea of hierarchy of
1582:
849:
824:new method of non-linear mechanics, the
478:known for a significant contribution to
3211:
3100:
2917:
2708:
1464:National Academy of Sciences of Ukraine
1434:National Academy of Sciences of Ukraine
1260:Heineman Prize for Mathematical Physics
1039:National Academy of Sciences of Ukraine
933:Academy of Sciences of the Soviet Union
740:Ufa State Aviation Technical University
704:National Academy of Sciences of Ukraine
556:From 1913 to 1918, the family lived in
3532:Recipients of the Lomonosov Gold Medal
3419:
2949:
2118:Bogolyubov's edge-of-the-wedge theorem
1784:Princeton, Princeton University Press.
1456:(Joint Institute for Nuclear Research)
903:Bogoliubov's edge-of-the-wedge theorem
589:Department of Mathematical Physics at
553:, where his father taught until 1913.
3360:
1759:Mathematics and Non-linear Mechanics:
1454:Bogolyubov Prize for young scientists
1339:American Academy of Arts and Sciences
805:, or a stochastic process satisfying
785:. In his work a simple example of an
647:, methods of approximate solution of
593:under the supervision of Academician
3321:Joint Institute for Nuclear Research
2041:Gordon and Breach, Amsterdam, 1995.
2026:Gordon and Breach, Amsterdam, 1995.
1782:Introduction to Nonlinear Mechanics.
1554:Mathematics and non-linear mechanics
1448:Joint Institute for Nuclear Research
1441:Joint Institute for Nuclear Research
1208:(1953, 1959, 1967, 1969, 1975, 1979)
1118:Joint Institute for Nuclear Research
1081:adding citations to reliable sources
1048:
984:Joint Institute for Nuclear Research
946:
942:
383:Joint Institute for Nuclear Research
271:Bogoliubov edge-of-the-wedge theorem
54:adding citations to reliable sources
25:
2011:Gordon and Breach, New York, 1991.
1988:Gordon and Breach, New York, 1990.
1816:N. N. Bogoliubov, V. V. Tolmachev,
1749:List of works by Nikolay Bogolyubov
1511:21–27 August, Moscow-Dubna, Russia.
889:, where he developed the method of
670:Introduction to Nonlinear Mechanics
490:; he was the recipient of the 1992
162:Николай Боголюбов, Микола Боголюбов
13:
3547:Recipients of the USSR State Prize
2666:
2276:"Nikolay Nikolayevich Bogolyubov".
2163:Krylov-Bogoliubov averaging method
2061:
749:
730:on 22 June 1941 (beginning of the
14:
3618:
3327:Department of Theoretical Physics
3311:Lomonosov Moscow State University
3294:
1656:
1359:Academy of Sciences in Heidelberg
1218:Order of the Red Banner of Labour
1035:Institute for Theoretical Physics
996:Laboratory of Theoretical Physics
503:Early life in Ukraine (1909–1921)
379:Lomonosov Moscow State University
3537:Recipients of the Order of Lenin
1363:Czechoslovak Academy of Sciences
1345:(1961); a foreign member of the
1148:, Naftul Polsky, Galina Biryuk,
1053:
994:) and the first director of the
950:
935:. He was elected a full member (
860:Steklov Institute of Mathematics
375:Steklov Institute of Mathematics
30:
3597:Burials at Novodevichy Cemetery
3552:Winners of the Max Planck Medal
3287:10.1070/RM2001v056n03ABEH000413
3247:10.1070/rm1994v049n05abeh002434
3197:10.1070/RM1994v049n05ABEH002432
3160:10.1070/RM1994v049n05ABEH002430
3123:10.1070/RM1994v049n05ABEH002428
3086:10.1070/RM1994v049n05ABEH002426
3049:10.1070/RM1994v049n05ABEH002421
3012:10.1070/RM1994v049n05ABEH002419
2975:10.1070/RM1994v049n05ABEH002417
2935:10.1070/RM1992v047n03ABEH000892
2911:10.1070/PU1989v032n12ABEH002785
2871:10.1070/RM1989v044n05ABEH002280
2838:10.1070/RM1979v034n05ABEH003905
2806:10.1070/PU1979v022n08ABEH005604
2766:10.1070/RM1969v024n04ABEH001356
2734:10.1070/PU1970v012n04ABEH003911
2702:10.1070/PU1959v002n05ABEH003172
2656:10.1090/s0002-9904-1977-14261-4
2626:
2609:
2576:
2555:
2534:
2515:
2496:
2475:
2456:
2435:
2414:
1824:. New York, Consultants Bureau.
1742:
1333:Foreign Honorary Member of the
1212:Order of the October Revolution
1140:, Iosif Gihman, Tofik Mamedov,
437:Никола́й Никола́евич Боголю́бов
429:Nikolay Nikolayevich Bogolyubov
41:needs additional citations for
3522:Recipients of the Stalin Prize
2378:
2363:
2338:
2321:"Николай Николаевич Боголюбов"
2313:
2288:
2259:. May 29, 2024. Archived from
2249:
2225:
2195:
2113:Bogoliubov causality condition
1943:. Benjamin-Cummings Pub. Co.,
1876:The Theory of Quantized Fields
1838:. New York, Gordon and Breach.
1834:N. N. Bogoliubov (1967—1970):
1795:. New York, Gordon and Breach.
1014:Work in Ukraine after the WWII
456:Mykola Mykolaiovych Bogoliubov
1:
3527:Recipients of the Lenin Prize
3343:Mathematics Genealogy Project
2389:. Second Series (in French).
2374:Mathematics Genealogy Project
2219:
2178:Peierls–Bogoliubov inequality
1780:and N. N. Bogoliubov (1947):
1767:and N. N. Bogoliubov (1934):
1700:) and developed a procedure (
1371:Mongolian Academy of Sciences
1355:Hungarian Academy of Sciences
1343:Bulgarian Academy of Sciences
1024:NASU Institute of Mathematics
982:Since 1956, he worked in the
732:Eastern front of World War II
562:Ukrainian War of Independence
130:Eastern Slavic naming customs
3602:Recipients of Franklin Medal
2346:"Боголюбов Павел Николаевич"
1335:National Academy of Sciences
1239:, 1st class (Bulgaria, 1969)
1237:Order of Cyril and Methodius
1224:Order of the Badge of Honour
901:, formulated and proved the
826:method of integral manifolds
497:
445:Микола Миколайович Боголюбов
161:
7:
2138:Bogoliubov-Parasyuk theorem
2096:
1698:Bogoliubov-Parasyuk theorem
1532:
1471:Russian Academy of Sciences
1254:Bologna Academy of Sciences
1123:
907:Bogoliubov–Parasyuk theorem
712:Chernivtsi State University
657:Bologna Academy of Sciences
612:and obtained the degree of
488:theory of dynamical systems
455:
276:Bogoliubov–Parasyuk theorem
10:
3623:
3517:Heroes of Socialist Labour
2565:Doklady Akademii Nauk SSSR
2273:Bogolyubov, A. N. (2009).
2153:Describing function method
1746:
1569:Krylov–Bogolyubov theorems
1493:) (Dubna's central street)
1367:Indian Academy of Sciences
1347:Polish Academy of Sciences
1293:Slovak Academy of Sciences
846:Steklov Institute (1947–?)
128:In this name that follows
127:
21:Nikolay Bogolyubov (actor)
18:
3392:
2168:Krylov-Bogolyubov theorem
2148:Bogoliubov transformation
1827:N. N. Bogoliubov (1960):
1805:N. N. Bogoliubov (1945):
1576:edge-of-the-wedge theorem
1547:edge-of-the-wedge theorem
1538:and to many other areas.
1490:
1264:American Physical Society
1163:
1044:
899:Bogoliubov transformation
831:In 1946, he published in
744:Ufa Pedagogical Institute
718:In evacuation (1941–1943)
645:almost periodic functions
584:The family soon moved to
444:
436:
422:
400:
388:
366:
348:
341:
293:
286:Krylov–Bogolyubov theorem
281:Bogoliubov transformation
241:
223:
201:
176:
167:
160:
153:
2432:: 81–157 (in Ukrainian).
2188:
2143:Bogoliubov quasiparticle
2128:Bogoliubov inner product
2103:Bogoliubov approximation
1753:
1199:Hero of Socialist Labour
774:, and other physicists.
482:, classical and quantum
3562:Mathematical physicists
2633:Jaffee, Arthur (1977).
2505:Izv. Academii Nauk USSR
1650:D. V. Shirkov
1543:microscopical causality
1469:Bogolyubov Gold Medal (
1427:Moscow State University
1378:University of Allahabad
1376:Honorary Doctor of the
1351:GDR Academy of Sciences
1337:(United States, 1959),
897:, where introduced the
756:Moscow State University
580:Kyiv period (1921-1940)
517:Russian Orthodox Church
319:Hero of Socialist Labor
3587:Theoretical physicists
2891:Soviet Physics Uspekhi
2786:Soviet Physics Uspekhi
2714:Soviet Physics Uspekhi
2682:Soviet Physics Uspekhi
1800:Statistical Mechanics:
1605:irreversible processes
1594:Fokker–Planck equation
1384:(East Germany, 1960),
1269:Gold Medal Helmholtz (
855:
807:Fokker–Planck equation
684:
668:" (1934) and the book
649:differential equations
641:calculus of variations
3577:Soviet mathematicians
3267:Russian Math. Surveys
3217:Russian Math. Surveys
3177:Russian Math. Surveys
3140:Russian Math. Surveys
3103:Russian Math. Surveys
3066:Russian Math. Surveys
3029:Russian Math. Surveys
2992:Russian Math. Surveys
2955:Russian Math. Surveys
2923:Russian Math. Surveys
2851:Russian Math. Surveys
2818:Russian Math. Surveys
2746:Russian Math. Surveys
2643:Bull. Amer. Math. Soc
2420:N. N. Bogoliubov and
2387:Annals of Mathematics
2123:Bogolyubov inequality
1880:renormalization group
1858:Quantum Field Theory:
1845:. Gordon and Breach.
1715:and independently of
1687:renormalization group
1583:Statistical mechanics
872:renormalization group
853:
787:anharmonic oscillator
674:
618:Candidate of Sciences
484:statistical mechanics
476:theoretical physicist
253:statistical mechanics
2674:Mitropolskiy, Yu. A.
1727:suggested a triplet
1328:Academic recognition
1308:Lomonosov Gold Medal
1226:, twice (1944, 1944)
1220:, twice (1948, 1954)
1201:, twice (1969, 1979)
1158:Vladimir Kadyshevsky
1077:improve this section
1000:quantum field theory
895:quantum field theory
779:stochastic processes
480:quantum field theory
357:mathematical physics
329:Lomonosov Gold Medal
249:quantum field theory
65:"Nikolay Bogolyubov"
50:improve this article
3407:Anatoliy Zahorodniy
3279:2001RuMaS..56..607V
3239:1994RuMaS..49..155S
3189:1994RuMaS..49..109S
3152:1994RuMaS..49...89M
3115:1994RuMaS..49...77L
3078:1994RuMaS..49...67Z
3041:1994RuMaS..49...51V
3004:1994RuMaS..49...19B
2967:1994RuMaS..49....1A
2903:1989SvPhU..32.1111A
2863:1989RuMaS..44....1L
2830:1979RuMaS..34R...1A
2798:1979SvPhU..22..672A
2782:Ambartsumyan, V. A.
2758:1969RuMaS..24..167V
2726:1970SvPhU..12..590Z
2694:1959SvPhU...2..765M
1672:causality condition
1491:проспект Боголюбова
1483:Bogolyubov prospect
1008:statistical physics
818:statistical physics
799:continuous spectrum
693:describing function
689:control engineering
353:Theoretical physics
19:For the actor, see
3607:Russian scientists
3567:Quantum physicists
3395:Nikolay Bogolyubov
3339:Nikolay Bogolyubov
2814:Aleksandrov, P. S.
2602:10.1007/BF02392399
2524:Journal of Physics
2465:Journal of Physics
2370:Nikolay Bogolyubov
2183:Quantum triviality
2133:Bogolyubov's lemma
2037:N. N. Bogoliubov,
2022:N. N. Bogoliubov,
2007:N. N. Bogoliubov,
1984:N. N. Bogoliubov,
1935:N. N. Bogoliubov,
1908:N. N. Bogoliubov,
1870:N. N. Bogoliubov,
1787:N. N. Bogoliubov,
1725:Oscar W. Greenberg
1713:Albert Tavkhelidze
1707:1965 Jointly with
1692:1955 Jointly with
1681:1955 Jointly with
1618:1947 Jointly with
1588:1939 Jointly with
1520:2009-06-05 at the
1446:Bogolyubov Prize (
1408:(Mongolia, 1977),
1130:Yurii Mitropolskiy
1028:Yurii Mitropolskyi
992:Dmitry Blokhintsev
962:. You can help by
856:
797:oscillations with
783:asymptotic methods
630:Doctor of Sciences
409:Yurii Mitropolskiy
217:Russian Federation
155:Nikolay Bogolyubov
3572:Soviet physicists
3557:Control theorists
3414:
3413:
3399:Alexander Davydov
3263:Vladimirov, V. S.
2897:(12): 1111–1112.
2742:Vladimirov, V. S.
2619:Preprint D-1968,
2055:978-2-88124-926-6
2002:978-2-88124-752-1
1972:978-0-7923-0540-8
1930:978-0-471-04223-5
1895:978-0-8053-0982-9
1789:Y. A. Mitropolsky
1664:scattering matrix
1642:superconductivity
1524:15–18 September,
1404:(Finland, 1973),
1400:(Romania, 1971),
1146:Mikhail Polivanov
1113:
1112:
1105:
980:
979:
943:Dubna (1956–1992)
887:superconductivity
868:Mikhail Polivanov
864:Vasily Vladimirov
653:dynamical systems
453:
426:
425:
401:Doctoral students
343:Scientific career
257:superconductivity
126:
125:
118:
100:
3614:
3582:Soviet inventors
3381:
3374:
3367:
3358:
3357:
3350:in the database
3323:, Dubna, Russia.
3290:
3258:
3232:
3208:
3171:
3134:
3097:
3060:
3023:
2986:
2946:
2914:
2887:Abrikosov, A. A.
2882:
2845:Logunov, A. A.;
2841:
2809:
2777:
2737:
2705:
2678:Tyablikov, S. V.
2661:
2660:
2658:
2630:
2624:
2613:
2607:
2606:
2604:
2589:Acta Mathematica
2580:
2574:
2573:
2559:
2553:
2552:
2538:
2532:
2531:
2519:
2513:
2512:
2500:
2494:
2493:
2479:
2473:
2472:
2460:
2454:
2453:
2439:
2433:
2418:
2412:
2410:
2382:
2376:
2367:
2361:
2360:
2358:
2356:
2342:
2336:
2335:
2333:
2331:
2317:
2311:
2310:
2308:
2306:
2292:
2286:
2285:
2271:
2265:
2264:
2263:on May 18, 2015.
2253:
2247:
2246:
2244:
2243:
2229:
2213:
2199:
2077:
1812:
1774:
1709:Boris Struminsky
1601:relaxation times
1492:
1460:Bogolyubov Prize
1396:(Poland, 1970),
1380:, India (1958),
1277:Max Planck Medal
1187:USSR State Prize
1150:Sergei Tyablikov
1108:
1101:
1097:
1094:
1088:
1057:
1049:
975:
972:
954:
947:
839:(Moscow, 1946).
682:
643:, the theory of
632:, equivalent to
547:Chernihiv Oblast
458:
448:
446:
438:
413:Sergei Tyablikov
390:Doctoral advisor
337:
324:Max Planck Medal
304:USSR State Prize
208:
205:13 February 1992
186:
184:
172:
151:
150:
121:
114:
110:
107:
101:
99:
58:
34:
26:
3622:
3621:
3617:
3616:
3615:
3613:
3612:
3611:
3417:
3416:
3415:
3410:
3403:Oleksiy Sytenko
3388:
3385:
3297:
2669:
2667:Further reading
2664:
2631:
2627:
2614:
2610:
2581:
2577:
2560:
2556:
2539:
2535:
2520:
2516:
2501:
2497:
2480:
2476:
2461:
2457:
2440:
2436:
2419:
2415:
2399:10.2307/1968511
2383:
2379:
2368:
2364:
2354:
2352:
2344:
2343:
2339:
2329:
2327:
2319:
2318:
2314:
2304:
2302:
2294:
2293:
2289:
2283:
2272:
2268:
2255:
2254:
2250:
2241:
2239:
2231:
2230:
2226:
2222:
2217:
2216:
2200:
2196:
2191:
2158:Goldstone boson
2099:
2064:
2062:Selected papers
1810:
1772:
1756:
1751:
1745:
1659:
1585:
1556:
1535:
1522:Wayback Machine
1436:(Kyiv, Ukraine)
1392:(Italy, 1969),
1301:(Germany, 1981)
1299:Karpinski Prize
1247:Academic awards
1206:Orders of Lenin
1166:
1126:
1109:
1098:
1092:
1089:
1074:
1058:
1047:
1020:Kyiv University
1016:
1004:nuclear physics
976:
970:
967:
960:needs expansion
945:
891:BBGKY hierarchy
848:
815:non-equilibrium
768:Dmitri Ivanenko
752:
750:Moscow (1943–?)
720:
700:Kyiv University
683:
680:
591:Kyiv University
582:
509:Nizhny Novgorod
505:
500:
415:
411:
407:
381:
377:
373:
371:Kyiv University
332:
327:
322:
317:
312:
307:
302:
297:
266:BBGKY hierarchy
219:
210:
206:
197:
191:Nizhny Novgorod
188:
182:
180:
163:
156:
149:
122:
111:
105:
102:
59:
57:
47:
35:
24:
17:
12:
11:
5:
3620:
3610:
3609:
3604:
3599:
3594:
3589:
3584:
3579:
3574:
3569:
3564:
3559:
3554:
3549:
3544:
3539:
3534:
3529:
3524:
3519:
3514:
3509:
3504:
3499:
3494:
3489:
3484:
3479:
3474:
3469:
3464:
3459:
3454:
3449:
3444:
3439:
3434:
3429:
3412:
3411:
3405:(1988–2002) •
3401:(1973–1988) •
3397:(1966–1973) •
3393:
3390:
3389:
3384:
3383:
3376:
3369:
3361:
3355:
3354:
3348:Author profile
3345:
3336:
3330:
3324:
3314:
3304:
3296:
3295:External links
3293:
3292:
3291:
3273:(3): 607–613.
3259:
3230:hep-th/9602024
3223:(5): 155–176.
3213:Shirkov, D. V.
3209:
3183:(5): 109–154.
3172:
3135:
3098:
3061:
3024:
2987:
2947:
2919:Faddeev, L. D.
2915:
2883:
2847:Novikov, S. P.
2842:
2810:
2792:(8): 672–676.
2778:
2752:(4): 167–175.
2738:
2720:(4): 590–593.
2710:Zubarev, D. N.
2706:
2688:(5): 765–770.
2668:
2665:
2663:
2662:
2649:(3): 349–351.
2625:
2608:
2575:
2568:(in Russian).
2554:
2533:
2514:
2507:(in Russian).
2495:
2488:(in Russian).
2474:
2455:
2448:(in Russian).
2434:
2413:
2377:
2362:
2337:
2312:
2287:
2266:
2248:
2223:
2221:
2218:
2215:
2214:
2203:transliterated
2193:
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2165:
2160:
2155:
2150:
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2120:
2115:
2110:
2105:
2098:
2095:
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2093:
2090:
2087:
2084:
2081:
2078:
2063:
2060:
2059:
2058:
2035:
2020:
2005:
1981:
1980:
1979:Selected works
1976:
1975:
1952:
1941:Quantum Fields
1933:
1906:
1883:
1868:
1855:
1854:
1839:
1832:
1825:
1814:
1797:
1796:
1785:
1775:
1773:(in Ukrainian)
1755:
1752:
1747:Main article:
1744:
1741:
1740:
1739:
1736:
1721:Yoichiro Nambu
1705:
1694:Ostap Parasyuk
1690:
1685:developed the
1683:Dmitry Shirkov
1679:
1658:
1657:Quantum theory
1655:
1654:
1653:
1638:
1623:
1616:
1608:
1597:
1590:Nikolay Krylov
1584:
1581:
1580:
1579:
1572:
1565:
1561:Nikolay Krylov
1555:
1552:
1534:
1531:
1530:
1529:
1512:
1498:
1497:
1494:
1480:
1477:
1474:
1467:
1457:
1451:
1444:
1437:
1430:
1419:
1418:
1414:
1413:
1412:(Poland, 1977)
1374:
1330:
1329:
1325:
1324:
1314:
1311:
1305:
1302:
1296:
1286:
1283:Franklin Medal
1280:
1274:
1267:
1257:
1249:
1248:
1244:
1243:
1240:
1233:
1232:
1231:Foreign awards
1228:
1227:
1221:
1215:
1209:
1202:
1196:
1190:
1184:
1174:
1173:
1165:
1162:
1154:Dmitry Zubarev
1134:Dmitry Shirkov
1125:
1122:
1111:
1110:
1061:
1059:
1052:
1046:
1043:
1015:
1012:
1002:, theoretical
978:
977:
957:
955:
944:
941:
923:quantum number
911:Ostap Parasyuk
847:
844:
793:of incoherent
772:Arseny Sokolov
760:Anatoly Vlasov
751:
748:
719:
716:
678:
610:Nikolay Krylov
581:
578:
570:Poltava Oblast
513:Russian Empire
504:
501:
499:
496:
424:
423:
420:
419:
417:Dmitry Shirkov
405:Dmitry Zubarev
402:
398:
397:
395:Nikolay Krylov
392:
386:
385:
368:
364:
363:
350:
346:
345:
339:
338:
314:Heineman Prize
295:
291:
290:
289:
288:
283:
278:
273:
268:
263:
243:
242:Known for
239:
238:
225:
221:
220:
211:
209:(aged 82)
203:
199:
198:
195:Russian Empire
189:
187:21 August 1909
178:
174:
173:
165:
164:
158:
157:
154:
124:
123:
38:
36:
29:
15:
9:
6:
4:
3:
2:
3619:
3608:
3605:
3603:
3600:
3598:
3595:
3593:
3592:Superfluidity
3590:
3588:
3585:
3583:
3580:
3578:
3575:
3573:
3570:
3568:
3565:
3563:
3560:
3558:
3555:
3553:
3550:
3548:
3545:
3543:
3540:
3538:
3535:
3533:
3530:
3528:
3525:
3523:
3520:
3518:
3515:
3513:
3510:
3508:
3505:
3503:
3500:
3498:
3495:
3493:
3490:
3488:
3485:
3483:
3480:
3478:
3475:
3473:
3470:
3468:
3465:
3463:
3460:
3458:
3455:
3453:
3450:
3448:
3445:
3443:
3440:
3438:
3435:
3433:
3430:
3428:
3425:
3424:
3422:
3408:
3404:
3400:
3396:
3391:
3382:
3377:
3375:
3370:
3368:
3363:
3362:
3359:
3353:
3349:
3346:
3344:
3340:
3337:
3335:(in Russian).
3334:
3331:
3328:
3325:
3322:
3318:
3315:
3312:
3308:
3305:
3302:
3299:
3298:
3288:
3284:
3280:
3276:
3272:
3268:
3264:
3260:
3256:
3252:
3248:
3244:
3240:
3236:
3231:
3226:
3222:
3218:
3214:
3210:
3206:
3202:
3198:
3194:
3190:
3186:
3182:
3178:
3173:
3169:
3165:
3161:
3157:
3153:
3149:
3146:(5): 89–108.
3145:
3141:
3136:
3132:
3128:
3124:
3120:
3116:
3112:
3108:
3104:
3099:
3095:
3091:
3087:
3083:
3079:
3075:
3071:
3067:
3062:
3058:
3054:
3050:
3046:
3042:
3038:
3034:
3030:
3025:
3021:
3017:
3013:
3009:
3005:
3001:
2997:
2993:
2988:
2984:
2980:
2976:
2972:
2968:
2964:
2960:
2956:
2952:
2951:Anosov, D. V.
2948:
2944:
2940:
2936:
2932:
2928:
2924:
2920:
2916:
2912:
2908:
2904:
2900:
2896:
2892:
2888:
2884:
2880:
2876:
2872:
2868:
2864:
2860:
2856:
2852:
2848:
2843:
2839:
2835:
2831:
2827:
2823:
2819:
2815:
2811:
2807:
2803:
2799:
2795:
2791:
2787:
2783:
2779:
2775:
2771:
2767:
2763:
2759:
2755:
2751:
2747:
2743:
2739:
2735:
2731:
2727:
2723:
2719:
2715:
2711:
2707:
2703:
2699:
2695:
2691:
2687:
2683:
2679:
2675:
2671:
2670:
2657:
2652:
2648:
2644:
2640:
2638:
2629:
2622:
2618:
2612:
2603:
2598:
2594:
2591:(in German).
2590:
2586:
2579:
2571:
2567:
2566:
2558:
2550:
2546:
2545:
2537:
2529:
2525:
2518:
2510:
2506:
2499:
2492:(7): 614–628.
2491:
2487:
2486:
2478:
2471:(3): 265–274.
2470:
2466:
2459:
2452:(8): 691–702.
2451:
2447:
2446:
2438:
2431:
2427:
2423:
2417:
2408:
2404:
2400:
2396:
2393:(1): 65–113.
2392:
2388:
2381:
2375:
2371:
2366:
2351:
2347:
2341:
2326:
2322:
2316:
2301:
2297:
2291:
2281:
2278:
2277:
2270:
2262:
2258:
2252:
2238:
2237:Maths History
2234:
2228:
2224:
2212:
2208:
2204:
2198:
2194:
2184:
2181:
2179:
2176:
2174:
2171:
2169:
2166:
2164:
2161:
2159:
2156:
2154:
2151:
2149:
2146:
2144:
2141:
2139:
2136:
2134:
2131:
2129:
2126:
2124:
2121:
2119:
2116:
2114:
2111:
2109:
2106:
2104:
2101:
2100:
2091:
2088:
2085:
2082:
2079:
2075:
2071:
2066:
2065:
2056:
2052:
2048:
2047:2-88124-926-4
2044:
2040:
2036:
2033:
2032:2-88124-918-3
2029:
2025:
2021:
2018:
2017:2-88124-768-7
2014:
2010:
2006:
2003:
1999:
1995:
1994:2-88124-752-0
1991:
1987:
1983:
1982:
1978:
1977:
1973:
1969:
1965:
1964:0-7923-0540-X
1961:
1957:
1953:
1950:
1949:0-8053-0983-7
1946:
1942:
1938:
1937:D. V. Shirkov
1934:
1931:
1927:
1923:
1922:0-471-04223-4
1919:
1915:
1911:
1910:D. V. Shirkov
1907:
1904:
1903:0-8053-0982-9
1900:
1896:
1892:
1888:
1884:
1881:
1877:
1873:
1872:D. V. Shirkov
1869:
1866:
1862:
1861:
1860:
1859:
1852:
1851:2-88124-879-9
1848:
1844:
1840:
1837:
1833:
1830:
1826:
1823:
1819:
1818:D. V. Shirkov
1815:
1808:
1804:
1803:
1802:
1801:
1794:
1790:
1786:
1783:
1779:
1776:
1770:
1766:
1763:
1762:
1761:
1760:
1750:
1737:
1735:) for quarks.
1734:
1730:
1726:
1722:
1718:
1717:Moo-Young Han
1714:
1710:
1706:
1703:
1699:
1695:
1691:
1688:
1684:
1680:
1677:
1673:
1669:
1665:
1661:
1660:
1651:
1647:
1643:
1639:
1636:
1632:
1628:
1627:superfluidity
1624:
1621:
1617:
1614:
1609:
1606:
1602:
1598:
1595:
1591:
1587:
1586:
1577:
1573:
1570:
1566:
1562:
1558:
1557:
1551:
1548:
1544:
1539:
1527:
1523:
1519:
1516:
1513:
1510:
1507:
1506:
1505:
1503:
1500:In 2009, the
1495:
1488:
1484:
1481:
1478:
1475:
1472:
1468:
1465:
1461:
1458:
1455:
1452:
1449:
1445:
1442:
1438:
1435:
1431:
1428:
1424:
1423:
1422:
1416:
1415:
1411:
1407:
1403:
1399:
1395:
1391:
1388:(USA, 1967),
1387:
1383:
1379:
1375:
1372:
1368:
1364:
1360:
1356:
1352:
1348:
1344:
1340:
1336:
1332:
1331:
1327:
1326:
1322:
1318:
1315:
1312:
1309:
1306:
1303:
1300:
1297:
1294:
1290:
1287:
1284:
1281:
1278:
1275:
1272:
1268:
1265:
1261:
1258:
1255:
1252:Award of the
1251:
1250:
1246:
1245:
1241:
1238:
1235:
1234:
1230:
1229:
1225:
1222:
1219:
1216:
1213:
1210:
1207:
1203:
1200:
1197:
1194:
1191:
1188:
1185:
1182:
1181:Stalin Prizes
1179:
1176:
1175:
1171:
1170:
1169:
1161:
1159:
1155:
1151:
1147:
1143:
1139:
1135:
1131:
1121:
1119:
1107:
1104:
1096:
1086:
1082:
1078:
1072:
1071:
1067:
1062:This section
1060:
1056:
1051:
1050:
1042:
1040:
1036:
1031:
1029:
1025:
1021:
1011:
1009:
1005:
1001:
997:
993:
989:
985:
974:
971:December 2009
965:
961:
958:This section
956:
953:
949:
948:
940:
938:
934:
929:
927:
924:
920:
916:
912:
908:
904:
900:
896:
892:
888:
884:
883:superfluidity
879:
877:
873:
869:
865:
861:
852:
843:
840:
838:
834:
829:
827:
821:
819:
816:
812:
808:
804:
803:deterministic
800:
796:
792:
791:superposition
788:
784:
780:
775:
773:
769:
765:
764:Vladimir Fock
761:
757:
747:
745:
741:
737:
733:
729:
725:
724:German attack
715:
713:
709:
705:
701:
696:
694:
690:
677:
673:
671:
667:
661:
658:
654:
650:
646:
642:
637:
635:
631:
627:
623:
619:
615:
614:Kandidat Nauk
611:
607:
606:Ukrainian SSR
603:
598:
596:
592:
587:
577:
575:
571:
567:
566:Velyka Krucha
563:
559:
554:
552:
548:
544:
539:
537:
533:
529:
525:
521:
518:
514:
510:
495:
493:
489:
485:
481:
477:
473:
472:mathematician
470:
466:
462:
457:
451:
442:
434:
430:
421:
418:
414:
410:
406:
403:
399:
396:
393:
391:
387:
384:
380:
376:
372:
369:
365:
362:
358:
354:
351:
347:
344:
340:
335:
330:
325:
320:
315:
310:
305:
300:
296:
292:
287:
284:
282:
279:
277:
274:
272:
269:
267:
264:
262:
261:superfluidity
258:
254:
250:
246:
245:
244:
240:
237:
233:
229:
226:
222:
218:
214:
204:
200:
196:
192:
179:
175:
171:
166:
159:
152:
147:
143:
140: and the
139:
135:
131:
120:
117:
109:
98:
95:
91:
88:
84:
81:
77:
74:
70:
67: –
66:
62:
61:Find sources:
55:
51:
45:
44:
39:This article
37:
33:
28:
27:
22:
3409:(since 2002)
3394:
3270:
3266:
3220:
3216:
3180:
3176:
3143:
3139:
3109:(5): 77–88.
3106:
3102:
3072:(5): 67–76.
3069:
3065:
3035:(5): 51–65.
3032:
3028:
2998:(5): 19–49.
2995:
2991:
2958:
2954:
2926:
2922:
2894:
2890:
2854:
2850:
2821:
2817:
2789:
2785:
2749:
2745:
2717:
2713:
2685:
2681:
2646:
2642:
2636:
2628:
2611:
2592:
2588:
2578:
2569:
2563:
2557:
2548:
2542:
2536:
2527:
2523:
2517:
2508:
2504:
2498:
2489:
2483:
2477:
2468:
2464:
2458:
2449:
2443:
2437:
2429:
2425:
2422:N. M. Krylov
2416:
2390:
2386:
2380:
2365:
2353:. Retrieved
2349:
2340:
2328:. Retrieved
2324:
2315:
2303:. Retrieved
2299:
2296:"About BITP"
2290:
2284:(in Russian)
2279:
2274:
2269:
2261:the original
2251:
2240:. Retrieved
2236:
2227:
2210:
2206:
2197:
2073:
2069:
2038:
2023:
2008:
1985:
1955:
1940:
1913:
1886:
1875:
1864:
1857:
1856:
1842:
1835:
1828:
1821:
1811:(in Russian)
1806:
1799:
1798:
1792:
1781:
1778:N. M. Krylov
1768:
1765:N. M. Krylov
1758:
1757:
1743:Publications
1733:color charge
1675:
1667:
1645:
1540:
1536:
1499:
1482:
1420:
1321:posthumously
1183:(1947, 1953)
1167:
1142:Kirill Gurov
1127:
1114:
1099:
1090:
1075:Please help
1063:
1032:
1017:
981:
968:
964:adding to it
959:
930:
926:color charge
880:
874:, axiomatic
857:
854:N.Bogolyubov
841:
836:
830:
825:
822:
789:driven by a
776:
753:
728:Soviet Union
726:against the
721:
697:
685:
675:
669:
665:
662:
638:
634:Habilitation
629:
621:
617:
601:
599:
595:Dmitry Grave
583:
555:
540:
506:
428:
427:
367:Institutions
342:
321:(1969, 1979)
301:(1947, 1953)
299:Stalin Prize
207:(1992-02-13)
145:
138:Nikolayevich
137:
112:
103:
93:
86:
79:
72:
60:
48:Please help
43:verification
40:
3432:1992 deaths
3427:1909 births
2961:(5): 1–18.
2857:(5): 1–10.
2824:(5): 1–10.
2595:: 227–266.
2530:(1): 23–32.
2411:Zbl. 16.86.
2173:Landau pole
1702:R-operation
1620:K. P. Gurov
1317:Dirac Medal
1193:Lenin Prize
1138:Selim Krein
937:academician
626:Doktor nauk
526:teacher of
492:Dirac Medal
361:mathematics
334:Dirac Prize
309:Lenin Prize
224:Nationality
142:family name
3421:Categories
2929:(3): 1–3.
2350:eduspb.com
2242:2024-05-16
2220:References
2207:Bogoliubov
1564:mechanics.
1528:, Ukraine.
1406:Ulan Bator
795:sinusoidal
722:After the
708:Chernivtsi
545:, city of
536:philosophy
532:psychology
486:, and the
183:1909-08-21
146:Bogolyubov
134:patronymic
76:newspapers
3313:, Russia.
3255:250886692
3205:250911673
3168:250918073
3131:250883056
3094:250829806
3057:250899126
3020:250872382
2983:250861645
2943:250873759
2879:250843264
2774:250852631
2211:Bogolubov
1635:Helium II
1502:centenary
1398:Bucharest
1289:Gold Meda
1093:June 2021
1064:does not
917:model of
811:Markovian
498:Biography
465:Ukrainian
450:romanized
441:Ukrainian
232:Ukrainian
106:July 2021
2572:: 25–28.
2551:(1): 58.
2511:(1): 77.
2424:(1939).
2097:See also
2076:: 41–59.
1939:(1982):
1912:(1980):
1874:(1959):
1820:(1959):
1791:(1961):
1631:Bose gas
1533:Research
1518:Archived
1443:, Dubna)
1402:Helsinki
1369:(1983),
1365:(1980),
1361:(1968),
1357:(1970),
1353:(1966),
1349:(1962),
1341:(1960),
1124:Students
986:(JINR),
876:S-matrix
679:—
568:(now in
528:theology
524:seminary
3341:at the
3319:at the
3309:at the
3275:Bibcode
3235:Bibcode
3185:Bibcode
3148:Bibcode
3111:Bibcode
3074:Bibcode
3037:Bibcode
3000:Bibcode
2963:Bibcode
2899:Bibcode
2859:Bibcode
2826:Bibcode
2794:Bibcode
2754:Bibcode
2722:Bibcode
2690:Bibcode
2407:1968511
2372:at the
2305:May 29,
1882:theory.
1809:. Kyiv
1689:method.
1487:Russian
1394:Wroclaw
1386:Chicago
1319:(1992,
1295:, 1975)
1273:, 1969)
1266:, 1966)
1085:removed
1070:sources
919:hadrons
742:and at
687:From a
574:Ukraine
551:Ukraine
469:Russian
452::
433:Russian
316:(1966)
294:Honours
236:Russian
90:scholar
3352:zbMATH
3253:
3203:
3166:
3129:
3092:
3055:
3018:
2981:
2941:
2877:
2772:
2405:
2325:MSU.ru
2053:
2045:
2030:
2015:
2000:
1992:
1970:
1962:
1947:
1928:
1920:
1901:
1893:
1849:
1417:Memory
1410:Warsaw
1382:Berlin
1373:(1983)
1285:(1974)
1279:(1973)
1256:(1930)
1214:(1984)
1195:(1958)
1189:(1984)
1172:Soviet
1164:Awards
1045:Family
909:(with
651:, and
543:Nizhyn
520:priest
461:Soviet
349:Fields
336:(1992)
331:(1985)
326:(1973)
311:(1958)
306:(1984)
228:Soviet
213:Moscow
132:, the
92:
85:
78:
71:
63:
3251:S2CID
3225:arXiv
3201:S2CID
3164:S2CID
3127:S2CID
3090:S2CID
3053:S2CID
3016:S2CID
2979:S2CID
2939:S2CID
2875:S2CID
2770:S2CID
2623:1965.
2621:Dubna
2403:JSTOR
2355:7 May
2330:7 May
2201:also
2189:Notes
1754:Books
1729:quark
1390:Turin
988:Dubna
915:quark
97:JSTOR
83:books
2617:JINR
2357:2024
2332:2024
2307:2024
2209:and
2051:ISBN
2043:ISBN
2028:ISBN
2013:ISBN
1998:ISBN
1990:ISBN
1968:ISBN
1960:ISBN
1945:ISBN
1926:ISBN
1918:ISBN
1899:ISBN
1891:ISBN
1847:ISBN
1723:and
1711:and
1674:for
1526:Kyiv
1204:Six
1068:any
1066:cite
905:and
885:and
833:JETP
781:and
586:Kyiv
558:Kyiv
534:and
522:and
474:and
467:and
202:Died
177:Born
69:news
3283:doi
3243:doi
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