C*-Algebras and Mathematical Foundations of Quantum Statistical Mechanics

C*-Algebras and Mathematical Foundations of Quantum Statistical Mechanics portes grátis

C*-Algebras and Mathematical Foundations of Quantum Statistical Mechanics

An Introduction

Bru, Jean-Bernard; Alberto de Siqueira Pedra, Walter

Springer International Publishing AG

06/2023

477

Dura

Inglês

9783031289484

15 a 20 dias

Descrição não disponível.
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.
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quantum statistical mechanics;mathematical foundations of quantum theory;phase transitions;quantum mean-field models;quantum lattice systems;interacting fermions;C*-algebras;convex analysis;finite quantum systems;Bogolioubov's approximation method;Gibbs states;Bishop-Phelps theorem;Choquet's theorem;Hartree-Fock theory;operator algebras;functional analysis;Hilbert space