Operator algebras in statistical mechanics and noncommutative probability theory
DOI10.1007/BF01103857zbMath0619.46056OpenAlexW1993446948MaRDI QIDQ1089591
M. Sh. Gol'dshtejn, Vadim V. Anshelevich
Publication date: 1987
Published in: Journal of Soviet Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01103857
KMS-statesinvariant statesindividual ergodic theoremnoncommutative probability theoryalgebra of quasi-local observables for a quantum spin systemcentral limit theorem for random variables satisfying Rosenblatt's conditiondistribution of eigenvalues of the multi-particle Schrödinger operatorfirst integrals of the multidimensional isotropic Heisenberg model
Free probability and free operator algebras (46L54) Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Quantum equilibrium statistical mechanics (general) (82B10) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51)
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