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.
General
| Imprint: |
Springer International Publishing AG
|
| Country of origin: |
Switzerland |
| Series: |
Latin American Mathematics Series – UFSCar subseries |
| Release date: |
June 2023 |
| First published: |
2023 |
| Authors: |
Jean-Bernard Bru
• Walter Alberto de Siqueira Pedra
|
| Dimensions: |
235 x 155mm (L x W) |
| Pages: |
477 |
| Edition: |
1st ed. 2023 |
| ISBN-13: |
978-3-03-128948-4 |
| Categories: |
Books
|
| LSN: |
3-03-128948-X |
| Barcode: |
9783031289484 |
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