C*-Algebras and Mathematical Foundations of Quantum Statistical Mechanics : (Record no. 7166)

MARC details
000 -LEADER
fixed length control field 02223 a2200253 4500
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20251012221211.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 241211b |||||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9783031289484
041 ## - LANGUAGE CODE
Language code of text/sound track or separate title eng
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 530.133
Item number BruA
100 ## - MAIN ENTRY--AUTHOR NAME
Personal name Bru, Jean-Bernard
245 ## - TITLE STATEMENT
Title C*-Algebras and Mathematical Foundations of Quantum Statistical Mechanics :
Remainder of title An Introduction /
Statement of responsibility, etc Jean-Bernard Bru and Walter Alberto de Siqueira Pedra
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication Switzerland:
Name of publisher Springer;
Year of publication ©2023
300 ## - PHYSICAL DESCRIPTION
Number of Pages xxvii, 477p.
440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE
Title Latin American Mathematics Series
Volume number/sequential designation UFSCar subseries
520 ## - SUMMARY, ETC.
Summary, etc 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.<br/><br/>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.<br/><br/>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.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Mathematical Physics
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Mathematical Methods in Physics
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Quantum Physics
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Theoretical and Computational Chemistry
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Functional Analysis
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Pedra, Walter Alberto de Siqueira
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Books
Holdings
Withdrawn status Lost status Damaged status Collection code Home library Current library Shelving location Date acquired Source of acquisition Purchase Price Bill number Full call number Accession Number Copy number Print Price Bill Date/Price effective from Koha item type
      Mathematics Indian Institute of Technology Tirupati Indian Institute of Technology Tirupati General Stacks 30/07/2025 Today and Tomorrows Printers and Publishers 5643.53 TTPP/134/2025-26 530.133 BruA (11549) 11549 Copy 1 8062.19 30/07/2025 Books