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  3. Funktionsanalyse og transformation

C*-Algebras and Mathematical Foundations of Quantum Statistical Mechanics

- An Introduction
Af: Jean-Bernard Bru, Walter Alberto de Siqueira Pedra Engelsk Hardback

C*-Algebras and Mathematical Foundations of Quantum Statistical Mechanics

- An Introduction
Af: Jean-Bernard Bru, Walter Alberto de Siqueira Pedra Engelsk Hardback
Tjek vores konkurrenters priser

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 equilibrium can be derived as simple corollaries of classical results in convex analysis.

Using C*-algebras as examples of ordered vector spaces, this book makes various aspects of C*-algebras and their applications to the mathematical foundations of quantum theory much clearer from both mathematical and physical perspectives. It begins with the simple case of Gibbs states on matrix algebras and gradually progresses to a more general setting that considers the thermodynamic equilibrium of infinitely extended quantum systems. The book also illustrates how first-order phase transitions and spontaneous symmetry breaking can occur, in contrast to the finite-dimensional situation. One of the unique features of this book is its thorough and clear treatment of the theory of equilibrium states of quantum mean-field models.

This work is self-contained and requires only a modest background in analysis, topology, and functional analysis from the reader. It is suitable for both mathematicians and physicists with a specific interest in quantum statistical physics.


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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 equilibrium can be derived as simple corollaries of classical results in convex analysis.

Using C*-algebras as examples of ordered vector spaces, this book makes various aspects of C*-algebras and their applications to the mathematical foundations of quantum theory much clearer from both mathematical and physical perspectives. It begins with the simple case of Gibbs states on matrix algebras and gradually progresses to a more general setting that considers the thermodynamic equilibrium of infinitely extended quantum systems. The book also illustrates how first-order phase transitions and spontaneous symmetry breaking can occur, in contrast to the finite-dimensional situation. One of the unique features of this book is its thorough and clear treatment of the theory of equilibrium states of quantum mean-field models.

This work is self-contained and requires only a modest background in analysis, topology, and functional analysis from the reader. It is suitable for both mathematicians and physicists with a specific interest in quantum statistical physics.


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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 477
ISBN-13: 9783031289484
Indbinding: Hardback
Udgave:
ISBN-10: 303128948X
Kategori: Funktionsanalyse og transformation
Udg. Dato: 18 jun 2023
Længde: 0mm
Bredde: 155mm
Højde: 235mm
Forlag: Springer International Publishing AG
Oplagsdato: 18 jun 2023
Forfatter(e): Jean-Bernard Bru, Walter Alberto de Siqueira Pedra
Forfatter(e) Jean-Bernard Bru, Walter Alberto de Siqueira Pedra

Kategori Funktionsanalyse og transformation

ISBN-13 9783031289484

Sprog Engelsk

Indbinding Hardback

Sider 477

Udgave

Længde 0mm

Bredde 155mm

Højde 235mm

Udg. Dato 18 jun 2023

Oplagsdato 18 jun 2023

Forlag Springer International Publishing AG

Kategori sammenhænge