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impose upon the physical measuring process. Stated in more precise terms, they proved that an exact measurement of an operator, which additively replaces the operator with a conserved size, is impossible. However, Yanase did prove that the uncertainty of the measurement can be made arbitrarily small,
316:. He also supplied important contributions in the mathematical theory of operator algebras, classifying the type-III factors of von Neumann algebras. Araki originated the concept of relative entropy of states of von Neumann algebras. In the 1970s he showed the equivalence in
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Araki, Huzihiro; Woods, E. J. (1963). "Representations of the canonical commutation relations describing a nonrelativistic infinite free Bose gas".
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physics professor GentarĹŤ Araki, with whom he studied and with whom in 1954 he published his first physics paper. He earned his diploma under
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1300:"Araki's Lecture: Interaction between the modular theory of operator algebras and statistical physics - past, present (and future)"
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Araki, Huzihiro; Hepp, Klaus; Ruelle, David (1962). "On the asymptotic behaviour of
Wightman functions in space-like directions".
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starting in 1966, and became the director of the
Research Institute for Mathematical Sciences (RIMS).
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868:"On the equivalence of the KMS condition and the variational principle for quantum lattice systems"
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for quantum mechanical spin systems on lattices. With Yanase he worked on the foundations of
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Araki, Huzihiro; Yanase, Mutsuo M. (1960). "Measurement of
Quantum Mechanical Operators".
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Publications of the
Research Institute for Mathematical Sciences, Kyoto University. Ser. A
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Araki, Huzihiro; Yanase, Mutsuo M. (1960). "Measurement of
Quantum Mechanical Operators".
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Publications of the
Research Institute for Mathematical Sciences, Kyoto University. Ser. A
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Connes, Alain; Flato, Moshé; Hironaka, Heisuke; Jaffe, Arthur; Jones, Vaughan (1993).
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Hamiltonian formalism and the canonical commutation relations in quantum field theory
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304:. At the beginning of the 1960s, in Princeton, he made important contributions to
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Hamiltonian
Formalism and Canonical Commutation Relations in Quantum Field Theory
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1182:"Interview with Huzihiro Araki: Mathematics and Physics, A Tale of Two Cultures"
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907:"KMS Conditions and Local Thermodynamical Stability of Quantum Lattice Systems"
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Araki, Huzihiro (1976). "Relative
Entropy of States of Von Neumann Algebras".
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746:(in Japanese). Yomiuri Shimbun Tokyo Headquarters. 2016. p. 391.
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Presidents of the
International Association of Mathematical Physics
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Publications of the
Research Institute for Mathematical Sciences
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Zambrini, Jean-claude (2006). "Laudatio for Huzihiro Araki".
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provided that the measuring apparatus is sufficiently large.
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761:"The untimely passing of Professor Emeritus Araki Fujihiro"
366:
332:) for the characterization of quantum mechanical states in
987:
Yanase, Mutsuo M. (1961). "Optimal measuring apparatus".
1218:"Editorial (dedication of this issue to Huzihiro Araki)"
1215:
1135:"List of Fellows of the American Mathematical Society"
1096:
XIVth International Congress on Mathematical Physics
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424:. Vol. 101. Oxford University Press on Demand.
1075:. International Association of Mathematical Physics
393:in Kyoto. He was editor of the scientific journal
1249:International Association of Mathematical Physics
1052:International Association of Mathematical Physics
793:International Association of Mathematical Physics
375:International Association of Mathematical Physics
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214:
208:
1242:"Longo's Laudatio for Araki's Poincare Prize"
905:Araki, Huzihiro; Sewell, Geoffrey L. (1977).
361:Huzihiro Araki was an invited speaker at the
1368:Fellows of the American Mathematical Society
766:Research Institute for Mathematical Sciences
389:. In 1990 he was the chief organizer of the
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439:Araki, Huzihiro; Lieb, Elliott H. (1970).
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1202:"Professor Huzihiro Araki about the IAMP"
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257:and in 1960 he attained his doctorate at
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822:(Thesis). Vol. 1. pp. 492–504.
391:International Congress of Mathematicians
363:International Congress of Mathematicians
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292:, and in particular on applications of
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1279:Literature by and about Huzihiro Araki
1222:Communications in Mathematical Physics
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911:Communications in Mathematical Physics
872:Communications in Mathematical Physics
833:Araki, Huzihiro; Woods, E. J. (1968).
601:Communications in Mathematical Physics
509:Araki, Huzihiro; Woods, E. J. (1968).
445:Communications in Mathematical Physics
396:Communications in Mathematical Physics
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1153:"Fellows of the AMS: Inaugural Class"
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422:Mathematical theory of quantum fields
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373:. He was the second president of the
1338:21st-century Japanese mathematicians
1333:20th-century Japanese mathematicians
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405:. In 2012 he became a fellow of the
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348:, which describes restrictions that
1189:Asia Pacific Mathematics Newsletter
1110:"Editorial Board - Founding editor"
13:
1363:Academic staff of Kyoto University
1200:Valentin, Zagrebnov (April 2010).
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1048:"About the IAMP - Past presidents"
1023:"ICM Plenary and Invited Speakers"
219:, 28 July 1932 – 16 December 2022)
16:Japanese mathematician (1932–2022)
14:
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229:who worked on the foundations of
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276:Araki died on 16 December 2022.
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820:Journal of Mathematical Physics
789:"Henri Poincaré Prize citation"
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402:Reviews in Mathematical Physics
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694:Algebraic quantum field theory
286:axiomatic quantum field theory
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1274:Mathematics Genealogy Project
1139:American Mathematical Society
835:"A classification of factors"
744:Yomiuri Yearbook 2016 Edition
730:
511:"A classification of factors"
407:American Mathematical Society
336:with, on the other hand, the
235:quantum statistical mechanics
269:. He was a professor at the
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1358:Princeton University alumni
1180:Leong, Y. K. (April 2014).
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346:Wigner-Araki-Yanase theorem
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1073:"The Henri Poincaré Prize"
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320:of, on the one hand, the
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814:Araki, Huzihiro (1960).
595:Araki, Huzihiro (1974).
528:10.2977/prims/1195195263
420:Araki, Huzihiro (1999).
249:Araki is the son of the
1373:Mathematical physicists
1353:Kyoto University alumni
1283:German National Library
1151:Jackson, Allyn (2013).
1009:10.1103/PhysRev.123.666
974:10.1103/PhysRev.120.622
689:Araki–Sucher correction
567:10.1103/PhysRev.120.622
237:, and on the theory of
719:Quantum thermodynamics
576:Helvetica Physica Acta
441:"Entropy inequalities"
328:, Paul C. Martin, and
318:quantum thermodynamics
223:mathematical physicist
709:Local quantum physics
338:variational principle
306:local quantum physics
290:statistical mechanics
261:with thesis advisors
714:Quantum field theory
588:10.5169/seals-113273
387:Henri Poincaré Prize
298:von Neumann algebras
259:Princeton University
231:quantum field theory
107:Henri Poincaré Prize
94:Princeton University
1098:. World Scientific.
1001:1961PhRv..123..666Y
966:1960PhRv..120..622A
923:1977CMaPh..52..103A
884:1974CMaPh..38....1A
724:Von Neumann algebra
613:1974CMaPh..38....1A
559:1960PhRv..120..622A
494:1963JMP.....4..637A
457:1970CMaPh..18..160A
310:scattering theories
271:University of Kyoto
251:University of Kyoto
151:University of Kyoto
89:University of Kyoto
1234:10.1007/BF02100046
1209:IAMP News Bulletin
1160:Notices of the AMS
931:10.1007/BF01625778
892:10.1007/BF01651545
652:Mathematics portal
621:10.1007/BF01651545
465:10.1007/BF01646092
769:. 12 January 2023
502:10.1063/1.1704002
357:Honors and awards
350:conservation laws
342:quantum mechanics
294:operator algebras
239:operator algebras
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120:Scientific career
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50:28 July 1932
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1348:2022 deaths
1343:1932 births
1309:26 February
1254:20 February
1195:(2): 12–18.
1144:19 February
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1079:20 February
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1032:20 February
878:(1): 1–10.
798:21 February
607:(1): 1–10.
365:in 1970 in
344:, i.e. the
308:and to the
302:C*-algebras
263:Rudolf Haag
184:Rudolf Haag
138:Mathematics
74:Nationality
1322:Categories
1285:catalogue.
1228:(1): 1–2.
995:(2): 666.
773:13 January
731:References
699:C*-algebra
540:: 809–833.
326:Ryogo Kubo
46:1932-07-28
939:120544596
704:KMS state
473:189832417
245:Biography
1211:: 10–13.
900:73547157
638:See also
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371:Helsinki
280:Research
77:Japanese
1281:in the
1272:at the
997:Bibcode
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133:Physics
56:, Japan
1293:zbMATH
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210:荒木 不二洋
169:(1960)
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158:Thesis
126:Fields
110:(2003)
103:Awards
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935:S2CID
896:S2CID
625:S2CID
469:S2CID
296:like
233:, on
54:Tokyo
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