Huzihiro Araki

Q: What Schools Are Affiliated With Huzihiro Araki

Huzihiro Araki is affiliated with the following schools: Tokyo University of Science, Princeton University, Kyoto University

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Huzihiro Araki

Mathematics

#1245

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#2085

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Mathematical Physics

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Measure Theory

#889

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#1164

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Huzihiro Araki

Physics

#1453

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#2233

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Huzihiro Araki's Degrees

PhD Mathematics Kyoto University

Why Is Huzihiro Araki Influential?

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According to Wikipedia, was a Japanese mathematical physicist and mathematician who worked on the foundations of quantum field theory, on quantum statistical mechanics, and on the theory of operator algebras. Biography Araki is the son of the University of Kyoto physics professor Gentarō Araki, with whom he studied and with whom in 1954 he published his first physics paper. He earned his diploma under Hideki Yukawa and in 1960 he attained his doctorate at Princeton University with thesis advisors Rudolf Haag and Arthur Wightman. He was a professor at the University of Kyoto starting in 1966, and became the director of the Research Institute for Mathematical Sciences .

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Huzihiro Araki's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Relative Entropy of States of von Neumann Algebras (1975) (399)
International Symposium on Mathematical Problems in Theoretical Physics (1975) (388)
REPRESENTATIONS OF THE CANONICAL COMMUTATION RELATIONS DESCRIBING A NONRELATIVISTIC INFINITE FREE BOSE GAS (1963) (383)
Entropy inequalities (1970) (304)
Mathematical theory of quantum fields (1999) (301)
Measurement of Quantum Mechanical Operators (1960) (264)
Operator Algebras and their Connections with Topology and Ergodic Theory (1985) (257)
On Quasifree States of CAR and Bogoliubov Automorphisms (1970) (246)
Gibbs states of a one dimensional quantum lattice (1969) (217)
On an inequality of Lieb and Thirring (1990) (214)
A Lattice of Von Neumann Algebras Associated with the Quantum Theory of a Free Bose Field (1963) (182)
A Classification of Factors (1968) (179)
Relative Hamiltonian for Faithful Normal States of a von Neumann Algebra (1973) (176)
Some properties of modular conjugation operator of von Neumann algebras and a non-commutative Radon-Nikodym theorem with a chain rule (1974) (174)
Hamiltonian Formalism and the Canonical Commutation Relations in Quantum Field Theory (1960) (160)
Quantum-Electrodynamical Corrections to Energy-Levels of Helium (1957) (139)
Von Neumann Algebras of Local Observables for Free Scalar Field (1964) (131)
Positive Cones and L p -Spaces for von Neumann Algebras (1982) (113)
A remark on Piron's paper (1966) (112)
Relative Entropy for States of von Neumann Algebras II (2005) (108)
Extension of KMS states and chemical potential (1977) (108)
EQUILIBRIUM STATISTICAL MECHANICS OF FERMION LATTICE SYSTEMS (2002) (100)
Factorizable Representation of Current Algebra : Non commutative extension of the Levy-Kinchin formula and cohomology of a solvable group with values in a Hilbert space (1969) (99)
On te Algebra of All Local Observables (1964) (99)
On a characterization of the state space of quantum mechanics (1980) (97)
On Quasifree States of the Canonical Commutation Relations (II) (1971) (89)
Expansional in banach algebras (1973) (75)
On uniqueness of KMS states of one-dimensional quantum lattice systems (1975) (69)
Type of von Neumann Algebra Associated with Free Field (1964) (69)
On the XY-Model on Two-Sided Infinite Chain (1984) (67)
Extension of the Structure Theorem of Borchers and its Application to Half-Sided Modular Inclusions (2004) (63)
A Remark on Machida-Namiki Theory of Measurement (1980) (60)
Reviews in mathematical physics (1989) (60)
Publications of the Research Institute for Mathematical Sciences (1976) (59)
An inequality for Hilbert-Schmidt norm (1981) (57)
Generalized Retarded Functions and Analytic Function in Momentum Space in Quantum Field Theory (1961) (57)
Complete Boolean algebras of type I factors (1966) (55)
On Quasi-equivalence of Quasifree States of the Canonical Commutation Relations (1982) (54)
KMS conditions and local thermodynamical stability of quantum lattice systems (1977) (54)
Ground states of theXY-model (1985) (53)
On the Diagonalization of a Bilinear Hamiltonian by a Bogoliubov Transformation (1968) (52)
ON THE CONNECTION OF SPIN AND COMMUTATION RELATIONS BETWEEN DIFFERENT FIELDS (1961) (48)
On the equivalence of theKMS condition and the variational principle for quantum lattice systems (1974) (47)
Indecomposable representations with invariant inner product (1985) (46)
Golden-Thompson and Peierls-Bogolubov inequalities for a general von Neumann algebra (1973) (45)
C*-Algebra Approach to Ground States of the XY-Model (1985) (43)
Quantum Field Theory of Unstable Particles (1957) (42)
Joint Extension of States of Subsystems for a CAR System (2003) (42)
On the homotopical significance of the type of von Neumann algebra factors (1971) (41)
On the equivalence of KMS and Gibbs conditions for states of quantum lattice systems (1974) (37)
On representations of the canonical commutation relations (1971) (36)
Multiple Time Analyticity of a Quantum Statistical State Satisfying the KMS Boundary Condition (1968) (35)
A remark on transition probability (1982) (32)
On the dynamics and ergodic properties of theXY model (1983) (31)
Operator algebras and statistical mechanics (1978) (31)
Asymptotic Ratio Set and Property L'λ (1970) (31)
Quantum and Non-Commutative Analysis (1993) (31)
Jensen's Operator Inequality for Functions of Several Variables (2000) (30)
Bures Distance Function and a Generalization of Sakai's Non-commutative Radon-Nikodym Theorem (1972) (29)
ON ASYMPTOTIC BEHAVIOR OF VACUUM EXPECTATION VALUES AT LARGE SPACE-LIKE SEPARATION (1960) (28)
A GENERALIZATION OF BORCHERS THEOREM (1963) (28)
LOCAL QUANTUM THEORY. I. (1969) (26)
On weak time-symmetric gravitational waves (1959) (24)
Remarks on spectra of modular operators of von Neumann algebras (1972) (24)
Symmetry and equilibrium states (1977) (23)
Master symmetries of the XY model (1990) (23)
C*-Algebras and Applications to Physics (1978) (22)
SYMMETRIES IN THEORY OF LOCAL OBSERVABLES AND THE CHOICE OF THE NET OF LOCAL ALGEBRAS (1992) (20)
On KMS Boundary Condition (1968) (18)
A Continuous Superselection Rule as a Model of Classical Measuring Apparatus in Quantum Mechanics (1986) (16)
On the Definition of C*-algebras (1973) (16)
Wightman Functions, Retarded Functions and Their Analytic Continuations (1961) (16)
On a Certain Class of *-Algebras of Unbounded Operators (1982) (16)
Local Thermodynamical Stability of Fermion Lattice Systems (2002) (15)
On a pathology in indefinite metric inner product space (1982) (14)
Conditional Expectations Relative to a Product State and the Corresponding Standard Potentials (2004) (13)
Structure of Some von Neumann Algebras with Isolated Discrete Modular Spectrum (1973) (12)
On KMS states of a C* dynamical system (1978) (11)
Mappings of Operator Algebras (1991) (11)
Topologies induced by representations of the canonical commutation relations (1973) (10)
A Remark on Bures Distance Function for Normal States (1971) (8)
Analyticity of ground states of the XY-model (1986) (8)
On aC*-algebra approach to phase transition in the two-dimensional Ising model (1983) (8)
An application of Dye's theorem on projection lattices to orthogonally decomposable isomorphisms. (1989) (7)
Inequalities in Von Neumann Algebras (1975) (7)
Topics in the Theory of Schrödinger Operators (2004) (7)
Schwinger Terms and Cyclic Cohomology (1988) (6)
Normal Positive Linear Mappings of Norm 1 from a von Neumann Algebra into Its Commutant and Its Application (1972) (6)
Interaction between Electrons in One-dimensional Free-electron Model with Application to Absorption Spectra of Cyanine Dyes (1954) (6)
On clustering property (1976) (5)
THE WORK OF ALAIN CONNES (1997) (5)
Analyticity of correlation functions for the two-dimensional Ising model (1986) (4)
Mathematical horizons for quantum physics (2010) (4)
A Remark on an Infinite Tensor Product of von Neumann Algebras (1972) (4)
One-Parameter Family of Radon-Nikodym Theorems for States of a von Neumann Algebra (1974) (4)
Dynamics and Potentials (2007) (3)
Addenda: Complete Boolean algebras of type {${\rm I}$} factors (1966) (3)
Standard Potentials for Non-Even Dynamics (2006) (3)
On O_{n+1} (1984) (3)
Relative Hamiltonian for States of von Neumann Algebras (Operator algebraとその応用) (1973) (3)
Geometric methods in operator algebras : proceedings of the US-Japan seminar, Kyoto, July 1983 (1986) (2)
The state of matter : a volume dedicated to E.H. Lieb (1994) (2)
Subfactors: Proceedings of the Taniguchi Symposium on Operator Algebras (1994) (2)
SOLITON SECTOR OF THE XY MODEL (1996) (2)
Some contact points of mathematics and physics (1983) (2)
Asymptotic Ratio Set and Property (2005) (1)
On the Kubo-Martin-Schwinger Boundary Condition (1978) (1)
Super-Derivations and Associated Standard Super-Potentials (2007) (1)
Asymptotic Ratio Set and Property (2005) (1)
C*-Algebra Approach in Quantum Field Theory (1981) (1)
Current Topics in Operator Algebras: Proceedings of the Satellite Conference of ICM - 90 (1991) (1)
Dynamic and Ergodic Properties of the XY-Model (1985) (1)
a Remark on a Connection of Return to Equilibrium and Multiple Ground States in Some Perturbed XY-MODEL (1994) (1)
Multiple Time Analyticity of a Statistical Satisfying the Boundary Condition (2005) (0)
On commuting transfer matrices (2021) (0)
On boundedness and d p continuity of second quantisation (1995) (0)
On the Work of Huzihiro Araki (2003) (0)
Operator Algebra Approach to Soluble Models of Quantum Spin Lattice Systems (1993) (0)
On boundedness and parallel to center dot parallel to(p) continuity of second quantisation (1995) (0)
Some Topics in the Theory of Operator Algetras (「Operator algebraとその応用」研究会報告集) (1970) (0)
Finite energy sectors of the XY model (1996) (0)
Ergodic properties of some C*-dynamical systems (1985) (0)
On the Kubo-Martin-Schwinger Boundary Condition (Nonlinear Nonequilibrium Statistical Mechanics--Proceedings of the 1978 Oji Seminar at Kyoto,July 10～14,1978) (1979) (0)
On C∗-algebra methods for the XY and Ising models (1984) (0)
State Extension from Subsystems to the Joint System (Mathematical Study of Quantum Dynamical Systems and Its Application to Quantum Computer) (2004) (0)
On Boundedness and • ^ Continuity of Second Quantisation (2005) (0)
Generalization of Krinsky's commutativity proof of transfer matrices with Hamiltonians (1997) (0)
a Theorem of H. Araki (0)
Analyticity in some models of quantum statistical mechanics (1986) (0)
Operator Algebra Methods in Physics (2020) (0)
JOINT EXTENSION OF STATES OF FERMION SUBSYSTEMS (2006) (0)

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Why Is Huzihiro Araki Influential?

Huzihiro Araki's Published Works

Published Works

Other Resources About Huzihiro Araki

What Schools Are Affiliated With Huzihiro Araki?

Huzihiro Araki's AcademicInfluence.com Rankings