C*-Algebras and Mathematical Foundations of Quantum Statistical Mechanics An Introduction

This textbook provides a comprehensive introduction to the mathematical foundations of quantum statistical physics. It presents a conceptually profound yet technically accessible path to the C*-algebraic approach to quantum statistical mechanics, demonstrating how key aspects of thermodynamic equili...

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Bibliographic Details
Main Authors: Bru, Jean-Bernard, Alberto de Siqueira Pedra, Walter (Author)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2023, 2023
Edition:1st ed. 2023
Series:Latin American Mathematics Series – UFSCar subseries
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Preface
  • Ordered vector spaces and positivity
  • The space of bounded operators on a Hilbert space as ordered vector space
  • Thermodynamic equilibrium of finite quantum systems
  • Elements of C*-algebra
  • Thermodynamic equilibrium in infinite volume
  • Equilibrium states of mean-field models and Bogolioubov's approximation method
  • Appendix
  • References
  • Index