Huzihiro Araki
Huzihiro Araki | |
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University of Kyoto | |
| Thesis | Hamiltonian Formalism and Canonical Commutation Relations in Quantum Field Theory (1960) |
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Huzihiro Araki (荒木 不二洋, Araki Fujihiro, 28 July 1932mathematical physicist and mathematician who worked on the foundations of quantum field theory, on quantum statistical mechanics, and on the theory of operator algebras.[3]
Biography
Araki is the son of the
University of Kyoto
starting in 1966, and became the director of the Research Institute for Mathematical Sciences (RIMS).
Araki died on 16 December 2022.[2]
Research
Araki worked on
Wigner-Araki-Yanase theorem, which describes restrictions that conservation laws impose upon the physical measuring process.[7] 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, provided that the measuring apparatus is sufficiently large.[8]
Honors and awards
Huzihiro Araki was an invited speaker at the
Elliott Lieb, the Henri Poincaré Prize.[11] In 1990 he was the chief organizer of the International Congress of Mathematicians in Kyoto. He was editor of the scientific journal Communications in Mathematical Physics[12] and founder of Reviews in Mathematical Physics.[13] In 2012 he became a fellow of the American Mathematical Society.[14]
Selected works
- Araki, Huzihiro (1999). Mathematical theory of quantum fields. Vol. 101. Oxford University Press on Demand. ISBN 978-0199566402.
- Araki, Huzihiro; Lieb, Elliott H. (1970). "Entropy inequalities". Communications in Mathematical Physics. 18 (2): 160–170. S2CID 189832417.
- Araki, Huzihiro; Woods, E. J. (1963). "Representations of the canonical commutation relations describing a nonrelativistic infinite free Bose gas". Journal of Mathematical Physics. 4 (5): 637–662. .
- Araki, Huzihiro; Woods, E. J. (1968). "A classification of factors". Publications of the Research Institute for Mathematical Sciences, Kyoto University. Ser. A. 4 (1): 51–130. .
- Araki, Huzihiro (1976). "Relative Entropy of States of Von Neumann Algebras". Publications of the Research Institute for Mathematical Sciences: 809–833.
- Araki, Huzihiro; Yanase, Mutsuo M. (1960). "Measurement of Quantum Mechanical Operators". Physical Review. 120 (2): 622–626. .
- Araki, Huzihiro; Hepp, Klaus; Ruelle, David (1962). "On the asymptotic behaviour of Wightman functions in space-like directions". Helvetica Physica Acta. 35 (3): 164–174. .
- Araki, Huzihiro (1974). "On the equivalence of the KMS condition and the variational principle for quantum lattice systems". Communications in Mathematical Physics. 38 (1): 1–10. S2CID 73547157.
See also
References
- ^ Yomiuri Yearbook 2016 Edition (in Japanese). Yomiuri Shimbun Tokyo Headquarters. 2016. p. 391.
- ^ a b "The untimely passing of Professor Emeritus Araki Fujihiro". Research Institute for Mathematical Sciences. 12 January 2023. Retrieved 13 January 2023.
- ^ "Henri Poincaré Prize citation". International Association of Mathematical Physics. Retrieved 21 February 2021.
- ^ The thesis is Araki, Huzihiro (1960). Hamiltonian formalism and the canonical commutation relations in quantum field theory. Journal of Mathematical Physics (Thesis). Vol. 1. pp. 492–504.
- .
- S2CID 120544596.
- .
- .
- ^ "ICM Plenary and Invited Speakers". mathunion.org. Retrieved 20 February 2021.
- ^ "About the IAMP - Past presidents". International Association of Mathematical Physics. Retrieved 20 February 2021.
- ^ "The Henri Poincaré Prize". International Association of Mathematical Physics. Retrieved 20 February 2021.
- ^ Zambrini, Jean-claude (2006). "Laudatio for Huzihiro Araki". XIVth International Congress on Mathematical Physics. World Scientific.
- ^ "Editorial Board - Founding editor". World Scientific. Retrieved 20 February 2021.
- ^ "List of Fellows of the American Mathematical Society". American Mathematical Society. Retrieved 19 February 2021. Jackson, Allyn (2013). "Fellows of the AMS: Inaugural Class" (PDF). Notices of the AMS. 60 (5): 631–637.
Further reading
- Leong, Y. K. (April 2014). "Interview with Huzihiro Araki: Mathematics and Physics, A Tale of Two Cultures" (PDF). Asia Pacific Mathematics Newsletter. 4 (2): 12–18.
- Valentin, Zagrebnov (April 2010). "Professor Huzihiro Araki about the IAMP" (PDF). IAMP News Bulletin: 10–13.
- Connes, Alain; Flato, Moshé; Hironaka, Heisuke; Jaffe, Arthur; Jones, Vaughan (1993). "Editorial (dedication of this issue to Huzihiro Araki)". Communications in Mathematical Physics. 155 (1): 1–2. .
- "Longo's Laudatio for Araki's Poincare Prize" (PDF). International Association of Mathematical Physics. Retrieved 20 February 2021.
External links
- Huzihiro Araki at the Mathematics Genealogy Project
- Literature by and about Huzihiro Araki in the German National Library catalogue.
- Huzihiro Araki at zbMATH.
- "Araki's Lecture: Interaction between the modular theory of operator algebras and statistical physics - past, present (and future)". math.mcgill.ca. Retrieved 26 February 2021.
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