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statistics and for each sector there is a conjugate sector. These insights correspond to the additivity of charges in the particle interpretation, to the BoseâFermi alternative for particle statistics, and to the existence of
476:, which he played almost every day. In 1948, Haag married KĂ€the Fues, with whom he had four children, Albert, Friedrich, Elisabeth, and Ulrich. After retirement, he moved together with his second wife Barbara Klie to
1645:
born at the beginning of this century. They are different respect to the constructive theories mathematically developed in the 70s and 80s inspired by semiclassical ideas. See for example
Summers' historical
507:
During this work, he realized that the rigid relationship between fields and particles that had been postulated up to that point, did not exist, and that the particle interpretation should be based on
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1628:
The only additional assumption to the HaagâKastler axioms for the observables in this analysis was the postulate of the Haag duality, which was later established by Joseph J. Bisognano and
559:
and charge-carrying fields, which can generate all sectors from the vacuum state, were reconstructed from the observables. These results were later generalized for arbitrary sectors in the
2622:
Fredenhagen, Klaus; Rehren, Karl-Henning; Schroer, Bert (1992). "Superselection sectors with braid group statistics and exchange algebras. 2. Geometric aspects and conformal covariance".
500:
does not exist in quantum field theory. A new approach to the description of scattering processes of particles became necessary. In the following years Haag developed what is known as
614:. This theory has proven to be a central element in structural analysis and recently also in the construction of concrete quantum field theoretical models. Together with
633:
The framework created by Haag and
Kastler for studying quantum field theories in Minkowski space can be transferred to theories in curved spacetime. By working with
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618:
and Ewa Trych-Pohlmeyer, Haag also succeeded in deriving the KMS condition from the stability properties of thermal equilibrium states. Together with
345:. His family belonged to the cultured middle class. Haag's mother was the writer and politician Anna Haag. His father, Albert Haag, was a teacher of
689:
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for his fundamental contributions to quantum field theory as one of the founders of the modern formulation. Since 1980 Haag was a member of the
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representation cannot be used to describe interacting relativistic quantum fields with canonical commutation relations. One needs inequivalent
685:
1517:
653:
129:
2170:. Sources in the History of Mathematics and Physical Sciences (in German). Vol. 18. Springer, Berlin, Heidelberg. 2005. p. 1186.
542:
of the observables in theories with short-range forces. Sectors can always be composes with one another, each sector satisfies either para-
3191:
693:
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1784:
Anna Haag and her Secret Diary of the Second World War: A Democratic German
Feminist's Response to the Catastrophe of National Socialism
317:. He was one of the founders of the modern formulation of quantum field theory and he identified the formal structure in terms of the
457:. Haag remained the first editor-in-chief until 1973. In 1966, he accepted the professorship position for theoretical physics at the
3575:
2166:"Das Jahr 1958 Letzte Zusammenarbeit mit Heisenberg. Die Spinortheorie der Elementarteilchen und die Genfer Hochenergiekonferenz".
1552:
3565:
3560:
2247:
Buchholz, Detlev; Summers, Stephen J. (2006). "Scattering in
Relativistic Quantum Field Theory: Fundamental Concepts and Tools".
444:
225:
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1956:
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511:'s principle of locality, which assigns operators to regions of spacetime. These insights found their final formulation in the
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563:. The application of these methods to theories in low-dimensional spaces also led to an understanding of the occurrence of
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Haag, Rudolf (2010). "Local algebras. A look back at the early years and at some achievements and missed opportunities".
1141:
Haag, Rudolf; Lopuszanski, Jan T.; Sohnius, Martin (1975). "All possible generators of supersymmetries of the S-matrix".
3533:"Video of Haag's seminar in the conference about the 50 years of algebraic quantum field theory, with personal opinions"
3150:
3039:
1791:
1774:
2702:
Lechner, Gandalf (2015). "Algebraic
Constructive Quantum Field Theory: Integrable Models and Deformation Techniques".
2538:"Why there is a field algebra with a compact gauge group describing the superselection structure in particle physics"
1642:
1522:
1512:
501:
139:
1929:
425:
210:
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Haag, Rudolf (2010). "Some people and some problems met in half a century of commitment to mathematical physics".
1655:
An overview of the construction of a large number of models using these methods can be found in
Lechner's chapter.
1473:
1328:
Haag, Rudolf (2010). "Some people and some problems met in half a century of commitment to mathematical physics".
591:
492:
At the beginning of his career, Haag contributed significantly to the concepts of quantum field theory, including
1502:
520:
461:, where he stayed until he retired in 1987. After retirement, he worked on the concept of the quantum physical
1668:, arguing a misunderstanding of the concept of particle in the conventional framework of quantum field theory.
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This concept proved fruitful for understanding the fundamental properties of any theory in four-dimensional
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in the framework of quantum field theory; the discussion of infinite statistics was also dispensed with.
1532:
611:
547:
524:
2931:
Maldacena, Juan Martin (1998). "The Large N limit of superconformal field theories and supergravity".
1224:
Buchholz, Detlev; Haag, Rudolf (2000). "The Quest for understanding in relativistic quantum physics".
534:. Without making assumptions about non-observable charge-changing fields, Haag, in collaboration with
2677:
1870:
J.C. Poggendorffs biographisch-literarisches Handwörterbuch zur
Geschichte der exacten Wissenschaften
556:
3115:
3025:
637:, Heide Narnhofer, and Ulrich Stein, Haag made important contributions to the understanding of the
462:
220:
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Haag, Rudolf (1958). "Quantum field theories with composite particles and asymptotic conditions".
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512:
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124:
103:
78:
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166:
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for local observables of quantum field theories. This framework uses elements of the theory of
2585:"Superselection Sectors with Braid Group Statistics and Exchange Algebras. 1. General Theory"
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2110:. Lecture Notes in Physics. Vol. 899. Springer, Berlin, Heidelberg. pp. 219â234.
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2008:
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excludes a nontrivial coupling of bosonic inner symmetry groups with geometric symmetries (
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1410:. Lecture Notes in Physics. Vol. 899. Springer, Berlin, Heidelberg. pp. 219â234.
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314:
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3429:"Haag's visit in honor of 40 years of Communications in Mathematical Physics, with photos"
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Brunetti, Romeo; Fredenhagen, Klaus (2006). "Algebraic
Approach to Quantum Field Theory".
342:
8:
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Froehlich, Juerg; Gabbiani, Fabrizio (1991). "Braid statistics in local quantum theory".
649:
607:
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416:. After a year, he returned to his assistant position in Munich and completed the German
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Schönhammer, Kurt (2016). "Nachruf auf Rudolf Haag. 17. August 1922 â 5. Januar 2016".
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Doplicher, Sergio; Roberts, John E. (1989). "A new duality theory for compact groups".
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2303:
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2252:
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Schönhammer, Kurt (2016). "Nachruf auf Rudolf Haag. 17. August 1922 â 5. Januar 2016".
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Haag, Rudolf; Kastler, Daniel (1964). "An
Algebraic approach to quantum field theory".
627:
623:
350:
1099:"On the Derivation of Hawking Radiation Associated With the Formation of a Black Hole"
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2706:. Mathematical Physics Studies. Springer International Publishing. pp. 397â448.
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mountains. He died on 5 January 2016, in
Fischhausen-Neuhaus, in southern Bavaria.
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2386:. Mathematical Physics Studies. Springer International Publishing. pp. 1â30.
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Haag had a certain mistrust towards what he viewed as speculative developments in
3221:"Haag's Theorem and its Implications for the Foundations of Quantum Field Theory"
1907:
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1629:
1388:
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606:. It turned out that this condition also plays a prominent role in the theory of
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508:
281:
2391:
2382:
Fredenhagen, Klaus (2015). "An Introduction to Algebraic Quantum Field Theory".
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but occasionally dealt with such questions. The best known Acontribution is the
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in 1946, where he graduated as a physicist in 1948. In 1951, he received his
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1009:
Araki, Huzihiro; Kastler, Daniel; Takesaki, Masamichi; Haag, Rudolf (1977).
791:
3091:"German National Academy of Sciences Leopoldina member page of Rudolf Haag"
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638:
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Haag developed an interest in music at an early age. He began learning the
417:
362:
291:
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2807:
2045:
429:
377:. There he used his spare-time after the daily compulsory labour to study
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1961:(Thesis). Vol. 29. Copenaghen: Munksgaard in Komm. (published 1955).
564:
370:
354:
346:
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3133:(:Unkn) Unknown (2011). Akademie der Wissenschaften zu Göttingen (ed.).
2308:
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KĂ€the Fues was one of the daughters of the German theoretical physicist
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56:
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1996:
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Haag, Rudolf (2000). "Questions in quantum physics: A Personal view".
823:
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After the war, Haag returned to Germany and enrolled at the Technical
3513:
2790:
1854:
Die korrespondenzmÀssige Methode in der Theorie der Elementarteilchen
1255:
393:
310:
2829:
Kay, Bernard S. (2006). "Quantum Field Theory in Curved Spacetime".
751:
680:
for outstanding achievements in theoretical physics and in 1997 the
247:
Die korrespondenzmĂ€Ăige Methode in der Theorie der Elementarteilchen
661:
448:
374:
366:
915:(Doplicher-Haag-Roberts analysis of the superselection structure.)
404:
and became his assistant until 1956. In April 1953, he joined the
481:
378:
192:
90:
3456:
News Bulletin, International Association of Mathematical Physics
3343:
News Bulletin, International Association of Mathematical Physics
3334:
Buchholz, Detlev; Doplicher, Sergio; Fredenhagen, Klaus (2016).
2583:
Fredenhagen, Klaus; Rehren, Karl-Henning; Schroer, Bert (1989).
2208:
News Bulletin, International Association of Mathematical Physics
2199:
Buchholz, Detlev; Doplicher, Sergio; Fredenhagen, Klaus (2016).
1689:). The supersymmetry, on the other hand, allows such a coupling.
1576:
was still under construction, the study group was hosted by the
1573:
965:
Haag, Rudolf; Kastler, Daniel; Trych-Pohlmeyer, Ewa B. (1974).
469:
358:
240:
538:
and John E. Roberts, elucidated the possible structure of the
3591:
Members of the German National Academy of Sciences Leopoldina
473:
3333:
2776:
Longo, Roberto (2001). "Notes for a quantum index theorem".
2743:
JĂ€kel, Christian D. (2006). "Thermal Quantum Field Theory".
2198:
1930:"Closure of CERN's Theoretical Study Division in Copenhagen"
1786:. Peter Lang AG, Internationaler Verlag der Wissenschaften.
923:"On the Equilibrium states in quantum statistical mechanics"
3503:
921:
Haag, Rudolf; Hugenholtz, Nico M.; Winnink, Marius (1967).
602:) in such a way that it extends to infinite systems in the
405:
309:(17 August 1922 â 5 January 2016) was a German theoretical
3135:
Jahrbuch der Akademie der Wissenschaften zu Göttingen 2010
3116:"Göttingen Academy of Sciences member page of Rudolf Haag"
2454:
Doplicher, Sergio; Haag, Rudolf; Roberts, John E. (1969).
2415:
Doplicher, Sergio; Haag, Rudolf; Roberts, John E. (1969).
964:
877:
Doplicher, Sergio; Haag, Rudolf; Roberts, John E. (1974).
834:
Doplicher, Sergio; Haag, Rudolf; Roberts, John E. (1971).
3192:"Austrian Academy of Sciences member page of Rudolf Haag"
3167:"Bavarian Academy of Sciences member page of Rudolf Haag"
590:
characterization of thermal equilibrium states using the
2621:
2582:
1602:
Haag married Barbara Klie after KĂ€the's premature death.
1008:
325:. He also made important advances in the foundations of
2069:"Fundamental Irreversibility and the Concept of Events"
1767:
Leben und gelebt werden: Erinnerungen und Betrachtungen
1175:"Fundamental Irreversibility and the Concept of Events"
3514:"Published books about algebraic quantum field theory"
3296:
Kastler, Daniel (2003). "Rudolf Haag â Eighty years".
1807:
Kastler, Daniel (2003). "Rudolf Haag â Eighty years".
1140:
1053:
Haag, Rudolf; Narnhofer, Heide; Stein, Ulrich (1984).
3387:
Jahrbuch der Akademie der Wissenschaften zu Göttingen
2968:
Martin, Stephen P. (2010). "A Supersymmetry Primer".
2038:
Jahrbuch der Akademie der Wissenschaften zu Göttingen
1055:"On Quantum Field Theory in Gravitational Background"
920:
496:, from which follows that the interaction picture of
3449:"50 Years of Communications in Mathematical Physics"
2453:
2414:
1469:
876:
833:
3409:
2297:
1971:
1712:
582:and Marinus Winnink, succeeded in generalizing the
373:and spent the war in a camp of German civilians in
2456:"Fields, observables and gauge transformations II"
2351:Local quantum physics: Fields, particles, algebras
1052:
717:Local quantum physics: Fields, particles, algebras
692:. Since 1979 he was a corresponding member of the
555:. In the special case of simple sectors, a global
435:From 1957 to 1959, he was a visiting professor at
3070:International Association of Mathematical Physics
2648:
2417:"Fields, observables and gauge transformations I"
2353:(2 ed.). Springer-Verlag Berlin Heidelberg.
2106:Haag, Rudolf (2015). "Faces of Quantum Physics".
1745:International Association of Mathematical Physics
1406:Haag, Rudolf (2015). "Faces of Quantum Physics".
719:(2 ed.). Springer-Verlag Berlin Heidelberg.
313:, who mainly dealt with fundamental questions of
3552:
2933:Advances in Theoretical and Mathematical Physics
2682:Department of Mathematics, University of Florida
2535:
2500:
1011:"Extension of KMS States and Chemical Potential"
3132:
2246:
1096:
3254:"Laudatio to the 60th Birthday of Rudolf Haag"
3095:German National Academy of Sciences Leopoldina
2882:"The Ontology of Haag's Local Quantum Physics"
879:"Local observables and particle statistics. 2"
836:"Local observables and particle statistics. 1"
686:German National Academy of Sciences Leopoldina
3410:Buchholz, Detlev; Fredenhagen, Klaus (2016).
1972:Buchholz, Detlev; Fredenhagen, Klaus (2016).
1735:
1733:
1713:Buchholz, Detlev; Fredenhagen, Klaus (2016).
3350:Jaffe, Arthur; Rehren, Karl-Henning (2016).
3218:
2536:Doplicher, Sergio; Roberts, John E. (1990).
2133:International Journal of Quantum Information
1995:Jaffe, Arthur; Rehren, Karl-Henning (2016).
1437:International Journal of Quantum Information
1223:
742:
3586:Members of the Bavarian Academy of Sciences
3581:Members of the Austrian Academy of Sciences
3571:Academic staff of the University of Hamburg
3384:
3349:
2381:
2035:
1994:
1867:
801:
337:Rudolf Haag was born on 17 August 1922, in
2704:Advances in Algebraic Quantum Field Theory
2384:Advances in Algebraic Quantum Field Theory
2131:Haag, Rudolf (2019). "On quantum theory".
1881:
1879:
1730:
1435:Haag, Rudolf (2019). "On quantum theory".
443:. He became a professor of Physics at the
420:in 1954. From 1956 to 1957 he worked with
31:
3375:
3277:
2977:
2944:
2930:
2907:
2897:
2838:
2789:
2307:
2256:
2020:
1282:
1237:
1097:Fredenhagen, Klaus; Haag, Rudolf (1990).
1764:
1553:Quantum field theory in curved spacetime
523:or, from the physical point of view, as
3295:
2701:
1876:
1806:
1047:(KMS condition and chemical potential.)
445:University of Illinois Urbana-Champaign
439:and from 1959 to 1960 he worked at the
226:University of Illinois Urbana-Champaign
3553:
3298:Communications in Mathematical Physics
3258:Communications in Mathematical Physics
2967:
2879:
2778:Communications in Mathematical Physics
2589:Communications in Mathematical Physics
2542:Communications in Mathematical Physics
2460:Communications in Mathematical Physics
2421:Communications in Mathematical Physics
2073:Communications in Mathematical Physics
1809:Communications in Mathematical Physics
1769:(in German) (1 ed.). Silberburg.
1508:Communications in Mathematical Physics
1179:Communications in Mathematical Physics
1103:Communications in Mathematical Physics
1059:Communications in Mathematical Physics
1015:Communications in Mathematical Physics
971:Communications in Mathematical Physics
927:Communications in Mathematical Physics
883:Communications in Mathematical Physics
840:Communications in Mathematical Physics
454:Communications in Mathematical Physics
3446:
3219:Earman, John; Fraser, Doreen (2006).
2775:
2742:
1781:
1611:Haag's theorem states that the usual
341:, a university town in the middle of
3251:
2833:. Academic Press. pp. 202â212.
2831:Encyclopedia of Mathematical Physics
2747:. Academic Press. pp. 227â235.
2745:Encyclopedia of Mathematical Physics
2348:
2302:. Academic Press. pp. 198â204.
2300:Encyclopedia of Mathematical Physics
2251:. Academic Press. pp. 456â465.
2249:Encyclopedia of Mathematical Physics
2130:
2105:
2066:
1954:
1885:
1850:
1434:
1405:
1366:
1327:
1272:
1172:
769:
749:
714:
671:
487:
3480:Literature by and about Rudolf Haag
2828:
2678:"Constructive Quantum Field Theory"
2675:
1643:constructive quantum field theories
13:
3212:
1167:(Classification of Supersymmetry.)
967:"Stability and equilibrium states"
357:in 1939, he visited his sister in
14:
3617:
3463:
3426:
1765:Haag, Rudolf; Haag, Anna (2003).
1513:Constructive quantum field theory
561:DoplicherâRoberts duality theorem
3518:Local Quantum Physics Crossroads
3040:"Max Planck Medal Prize winners"
2972:. Vol. 21. pp. 1â153.
2970:Perspectives on Supersymmetry II
1641:It is referred to the algebraic
1518:HaagâĆopuszaĆskiâSohnius theorem
1486:
1472:
796:(HaagâRuelle scattering theory.)
656:, which classifies the possible
654:HaagâĆopuszaĆskiâSohnius theorem
626:, he also developed a theory of
519:and is therefore referred to as
426:Max Planck Institute for Physics
361:shortly before the beginning of
211:Max Planck Institute for Physics
130:HaagâĆopuszaĆskiâSohnius theorem
3576:Winners of the Max Planck Medal
3184:
3159:
3108:
3083:
3058:
3032:
2924:
2873:
2822:
2769:
2736:
2695:
2669:
2651:Reviews in Mathematical Physics
2624:Reviews in Mathematical Physics
2576:
2494:
2408:
2375:
2342:
2291:
2239:
2214:
2192:
2159:
2060:
2029:
1988:
1965:
1947:
1888:The European Physical Journal H
1868:Poggendorff, Johann C. (1958).
1741:"Henri Poincaré Prize citation"
1671:
1658:
1649:
1635:
1622:
1605:
1596:
1583:
1369:The European Physical Journal H
1330:The European Physical Journal H
1226:Journal of Mathematical Physics
804:Journal of Mathematical Physics
703:
3566:21st-century German physicists
3561:20th-century German physicists
3066:"Henri Poincaré Prize winners"
2849:10.1016/B0-12-512666-2/00018-3
2753:10.1016/B0-12-512666-2/00089-4
2318:10.1016/B0-12-512666-2/00078-X
2267:10.1016/B0-12-512666-2/00018-3
2108:The Message of Quantum Science
1922:
1861:
1843:
1800:
1758:
1702:
1566:
1503:Axiomatic quantum field theory
1408:The Message of Quantum Science
1003:(Stability and KMS condition.)
521:algebraic quantum field theory
1:
3474:Mathematics Genealogy Project
3120:Göttingen Academy of Sciences
1857:(Thesis) (in German). Munich.
1709:Rudolf Haag (13 January 2016)
1696:
1523:HaagâRuelle scattering theory
690:Göttingen Academy of Sciences
576:quantum statistical mechanics
502:HaagâRuelle scattering theory
327:quantum statistical mechanics
140:HaagâRuelle scattering theory
3196:Austrian Academy of Sciences
3171:Bavarian Academy of Sciences
1163:10.1016/0550-3213(75)90279-5
698:Austrian Academy of Sciences
694:Bavarian Academy of Sciences
664:that are not covered by the
480:, a pastoral village in the
332:
7:
3606:People associated with CERN
3336:"Rudolf Haag (1922 - 2016)"
2392:10.1007/978-3-319-21353-8_1
2226:Encyclopedia of Mathematics
2201:"Rudolf Haag (1922 - 2016)"
2116:10.1007/978-3-662-46422-9_9
1953:The habilitation thesis is
1465:
1416:10.1007/978-3-662-46422-9_9
752:"On quantum field theories"
708:
408:theoretical study group in
10:
3622:
2996:10.1142/9789814307505_0001
1908:10.1140/epjh/e2010-10032-4
1619:representations of fields.
1389:10.1140/epjh/e2010-10042-7
1350:10.1140/epjh/e2010-10032-4
1301:10.1142/9781848160224_0005
676:In 1970 Haag received the
472:, but later preferred the
3412:"Nachruf auf Rudolf Haag"
3318:10.1007/s00220-003-0829-1
3237:10.1007/s10670-005-5814-y
3137:(in German). De Gruyter.
2720:10.1007/978-3-319-21353-8
2663:10.1142/S0129055X90000107
2644:10.1142/S0129055X92000170
2359:10.1007/978-3-642-61458-3
2153:10.1142/S0219749919500370
1974:"Nachruf auf Rudolf Haag"
1958:On Quantum field theories
1829:10.1007/s00220-003-0829-1
1715:"Nachruf auf Rudolf Haag"
1457:10.1142/S0219749919500370
1275:Mathematical Physics 2000
1216:
743:Selected scientific works
725:10.1007/978-3-642-61458-3
447:in 1960. In 1965, he and
400:under the supervision of
300:
269:
257:
239:
198:
188:
181:
148:
117:
96:
86:
67:
42:
30:
23:
2503:Inventiones Mathematicae
1872:(in German). J.A. Barth.
1572:Since the laboratory in
1559:
3484:German National Library
3044:German Physical Society
2955:10.1023/A:1026654312961
2176:10.1007/3-540-26832-4_2
1849:The doctoral thesis is
1533:Hilbert's sixth problem
792:10.1103/PhysRev.112.669
666:ColemanâMandula theorem
441:University of Marseille
390:University of Stuttgart
221:University of Marseille
104:University of Stuttgart
3447:Jaffe, Arthur (2015).
3389:(in German): 236â237.
2880:Jaeger, Gregg (2023).
2040:(in German): 236â237.
1782:Timms, Edward (2016).
828:(HaagâKastler axioms.)
696:and since 1987 of the
688:and since 1981 of the
622:, Daniel Kastler, and
612:TomitaâTakesaki theory
598:, Paul C. Martin, and
580:Nicolaas M. Hugenholtz
578:, Haag, together with
540:superselection sectors
381:and mathematics as an
3395:10.1515/jbg-2016-0026
2808:10.1007/s002200100492
2349:Haag, Rudolf (1996).
2245:See e.g. the review:
2067:Haag, Rudolf (1990).
2046:10.1515/jbg-2016-0026
1955:Haag, Rudolf (1954).
1851:Haag, Rudolf (1951).
1543:Principle of locality
1538:Local quantum physics
1173:Haag, Rudolf (1990).
750:Haag, Rudolf (1955).
715:Haag, Rudolf (1996).
525:local quantum physics
459:University of Hamburg
319:principle of locality
231:University of Hamburg
3143:10.26015/adwdocs-386
1934:timeline.web.cern.ch
1578:Niels Bohr Institute
1548:Quantum field theory
1135:(Hawking radiation.)
682:Henri Poincaré Prize
610:and resulted in the
608:von Neumann algebras
451:founded the journal
437:Princeton University
398:University of Munich
315:quantum field theory
216:Princeton University
206:University of Munich
167:Henri Poincaré Prize
109:University of Munich
79:Neuhaus (Schliersee)
3368:2016PhT....69g..70J
3310:2003CMaPh.237....3K
3270:1982CMaPh..85....1J
2988:2010pesu.book....1M
2800:2001CMaPh.222...45L
2712:2015aaqf.book.....B
2636:1992RvMaP...4S.113F
2601:1989CMaPh.125..201F
2554:1990CMaPh.131...51D
2515:1989InMat..98..157D
2472:1969CMaPh..15..173D
2433:1969CMaPh..13....1D
2145:2019IJQI...1750037H
2085:1990CMaPh.132..245H
2013:2016PhT....69g..70J
1900:2010EPJH...35..263H
1821:2003CMaPh.237....3K
1664:He was critical of
1449:2019IJQI...1750037H
1381:2010EPJH...35..255H
1342:2010EPJH...35..263H
1293:2000hep.th....1006H
1248:2000JMP....41.3674B
1211:(Concept of Event.)
1191:1990CMaPh.132..245H
1155:1975NuPhB..88..257H
1115:1990CMaPh.127..273F
1071:1984CMaPh..94..219H
1027:1977CMaPh..53...97A
983:1974CMaPh..38..173H
939:1967CMaPh...5..215H
895:1974CMaPh..35...49D
852:1971CMaPh..23..199D
816:1964JMP.....5..848H
784:1958PhRv..112..669H
756:Dan. Mat. Fys. Medd
650:theoretical physics
604:thermodynamic limit
513:HaagâKastler axioms
125:HaagâKastler axioms
37:Rudolf Haag in 1992
3279:10.1007/BF02029127
3252:Jost, Res (1982).
2676:Summers, Stephen.
2609:10.1007/BF01217906
2562:10.1007/BF02097680
2523:10.1007/BF01388849
2480:10.1007/BF01645674
2441:10.1007/BF01645267
2139:(4): 1950037â1â9.
2093:10.1007/BF02278010
1630:Eyvind H. Wichmann
1443:(4): 1950037â1â9.
1199:10.1007/BF02278010
1123:10.1007/BF02096757
1079:10.1007/BF01209302
1035:10.1007/BF01609126
991:10.1007/BF01651541
947:10.1007/BF01646342
903:10.1007/BF01646454
860:10.1007/BF01877742
628:chemical potential
624:Masamichi Takesaki
353:. After finishing
3377:10.1063/PT.3.3244
3005:978-981-4307-48-2
2899:10.3390/e26010033
2858:978-0-12-512666-3
2762:978-0-12-512666-3
2729:978-3-319-21352-1
2401:978-3-319-21352-1
2368:978-3-540-61049-6
2327:978-0-12-512666-3
2276:978-0-12-512666-3
2185:978-3-540-26832-1
2125:978-3-662-46422-9
2022:10.1063/PT.3.3244
1425:978-3-662-46422-9
1310:978-1-86094-230-3
1143:Nuclear Physics B
824:10.1063/1.1704187
764:(Haag's theorem.)
734:978-3-540-61049-6
672:Honors and awards
643:Hawking radiation
635:Klaus Fredenhagen
630:in this context.
517:operator algebras
498:quantum mechanics
488:Scientific career
422:Werner Heisenberg
343:Baden-WĂŒrttemberg
304:
303:
287:Klaus Fredenhagen
270:Doctoral students
183:Scientific career
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3537:uni-math.gwdg.de
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1494:Biography portal
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1002:
959:(KMS condition.)
958:
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871:
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678:Max Planck Medal
600:Julian Schwinger
536:Sergio Doplicher
259:Doctoral advisor
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156:Max Planck medal
74:
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18:German physicist
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3433:arthurjaffe.com
3427:Jaffe, Arthur.
3338:
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3213:Further reading
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2309:math-ph/0411072
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1091:(Unruh effect.)
772:Physical Review
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658:supersymmetries
567:statistics and
532:Minkowski space
509:Albert Einstein
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3464:External links
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3416:Physik Journal
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3231:(3): 305â344.
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3152:978-3110236767
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2946:hep-th/9711200
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2222:"Haag theorem"
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2168:Wolfgang Pauli
2158:
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2079:(1): 245â252.
2059:
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1987:
1978:Physik Journal
1964:
1946:
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1894:(3): 263â307.
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1793:978-3034318181
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1776:978-3874075626
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1687:Poincaré group
1679:Sidney Coleman
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569:quantum groups
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3352:"Rudolf Haag"
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2001:Physics Today
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73:(2016-01-05)
15:
3601:2016 deaths
3596:1922 births
3500:Rudolf Haag
3490:Rudolf Haag
3470:Rudolf Haag
3122:(in German)
3046:(in German)
2630:: 113â157.
2509:: 157â218.
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762:(12): 1â37.
588:von Neumann
565:braid group
557:gauge group
371:enemy alien
355:high-school
347:mathematics
323:observables
307:Rudolf Haag
87:Nationality
25:Rudolf Haag
3555:Categories
3542:10 January
3523:10 January
3486:catalogue.
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414:Niels Bohr
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402:Fritz Bopp
383:autodidact
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868:189833852
430:Göttingen
394:doctorate
365:. He was
351:Gymnasium
333:Biography
311:physicist
81:, Germany
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