Cover of Ola Bratteli, Derek William Robinson: Operator Algebras and Quantum Statistical Mechanics

Ola Bratteli, Derek William Robinson Operator Algebras and Quantum Statistical Mechanics

Equilibrium States. Models in Quantum Statistical Mechanics

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Springer Berlin Heidelberg

2013

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978-3-662-03444-6

3-662-03444-1

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For almost two decades this has been the classical textbook on applications of operator algebra theory to quantum statistical physics. It describes the general structure of equilibrium states, the KMS-condition and stability, quantum spin systems and continuous systems.Major changes in the new edition relate to Bose--Einstein condensation, the dynamics of the X-Y model and questions on phase transitions. Notes and remarks have been considerably augmented.

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