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001469817 001__ 1469817
001469817 003__ OCoLC
001469817 005__ 20230803003348.0
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001469817 020__ $$a9783031289491$$q(electronic bk.)
001469817 020__ $$a3031289498$$q(electronic bk.)
001469817 020__ $$z303128948X
001469817 020__ $$z9783031289484
001469817 0247_ $$a10.1007/978-3-031-28949-1$$2doi
001469817 035__ $$aSP(OCoLC)1383659743
001469817 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dEBLCP$$dOCLCF
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001469817 050_4 $$aQC174.4
001469817 08204 $$a530.13/3$$223/eng/20230620
001469817 1001_ $$aBru, J.-B.$$q(Jean-Bernard),$$d1973-$$eauthor.
001469817 24510 $$aC*-algebras and mathematical foundations of quantum statistical mechanics :$$ban introduction /$$cJean-Bernard Bru, Walter Alberto de Siqueira Pedra.
001469817 264_1 $$aCham :$$bSpringer,$$c[2023]
001469817 264_4 $$c©2023
001469817 300__ $$a1 online resource (xxvii, 477 pages).
001469817 336__ $$atext$$btxt$$2rdacontent
001469817 337__ $$acomputer$$bc$$2rdamedia
001469817 338__ $$aonline resource$$bcr$$2rdacarrier
001469817 4901_ $$aLatin American mathematics series. UFSCar subseries.
001469817 504__ $$aIncludes bibliographical references and index.
001469817 5050_ $$aPreface -- Ordered vector spaces and positivity -- The space of bounded operators on a Hilbert space as ordered vector space -- Thermodynamic equilibrium of finite quantum systems -- Elements of C*-algebra -- Thermodynamic equilibrium in infinite volume -- Equilibrium states of mean-field models and Bogolioubov's approximation method -- Appendix -- References -- Index.
001469817 506__ $$aAccess limited to authorized users.
001469817 520__ $$aThis textbook provides a comprehensive introduction to the mathematical foundations of quantum statistical physics. It presents a conceptually profound yet technically accessible path to the C*-algebraic approach to quantum statistical mechanics, demonstrating how key aspects of thermodynamic equilibrium can be derived as simple corollaries of classical results in convex analysis. Using C*-algebras as examples of ordered vector spaces, this book makes various aspects of C*-algebras and their applications to the mathematical foundations of quantum theory much clearer from both mathematical and physical perspectives. It begins with the simple case of Gibbs states on matrix algebras and gradually progresses to a more general setting that considers the thermodynamic equilibrium of infinitely extended quantum systems. The book also illustrates how first-order phase transitions and spontaneous symmetry breaking can occur, in contrast to the finite-dimensional situation. One of the unique features of this book is its thorough and clear treatment of the theory of equilibrium states of quantum mean-field models. This work is self-contained and requires only a modest background in analysis, topology, and functional analysis from the reader. It is suitable for both mathematicians and physicists with a specific interest in quantum statistical physics.
001469817 588__ $$aDescription based on print version record.
001469817 650_0 $$aQuantum statistics.
001469817 650_0 $$aC*-algebras.
001469817 655_0 $$aElectronic books.
001469817 7001_ $$aPedra, W. de Siqueira$$q(Walter de Siqueira),$$d1975-$$eauthor.
001469817 77608 $$iPrint version:$$aBRU, JEAN-BERNARD. ALBERTO DE SIQUEIRA PEDRA, WALTER.$$tC*-ALGEBRAS AND MATHEMATICAL FOUNDATIONS OF QUANTUM STATISTICAL MECHANICS.$$d[Place of publication not identified] : SPRINGER INTERNATIONAL PU, 2023$$z303128948X$$w(OCoLC)1370924883
001469817 830_0 $$aLatin American mathematics series.$$pUFSCar subseries.
001469817 852__ $$bebk
001469817 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-28949-1$$zOnline Access$$91397441.1
001469817 909CO $$ooai:library.usi.edu:1469817$$pGLOBAL_SET
001469817 980__ $$aBIB
001469817 980__ $$aEBOOK
001469817 982__ $$aEbook
001469817 983__ $$aOnline
001469817 994__ $$a92$$bISE