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[null,"1.","Record Nr.",null,"UNINA9910731479103321"]
[null,null,"Autore",null,"Bru Jean-Bernard"]
[null,null,"Titolo",null,"C-Algebras and Mathematical Foundations of Quantum Statistical Mechanics : An Introduction / / by Jean-Bernard Bru, Walter Alberto de Siqueira Pedra"]
[null,null,"Pubbl/distr/stampa",null,"Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023"]
[null,null,"ISBN",null,"3-031-28949-8"]
[null,null,"Edizione",null,"[1st ed. 2023.]"]
[null,null,"Descrizione fisica",null,"1 online resource (497 pages)"]
[null,null,"Collana",null,"Latin American Mathematics Series – UFSCar subseries, , 2524-6763"]
[null,null,"Disciplina",null,"905"]
[null,null,"Soggetti",null,"Mathematical physics"]
[{"$nulls":4},"Statistical mechanics"]
[{"$nulls":4},"Quantum theory"]
[{"$nulls":4},"Functional analysis"]
[{"$nulls":4},"Mathematical Physics"]
[{"$nulls":4},"Mathematical Methods in Physics"]
[{"$nulls":4},"Statistical Mechanics"]
[{"$nulls":4},"Quantum Physics"]
[{"$nulls":4},"Functional Analysis"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"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."]
[null,null,null,"Sommario/riassunto","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 "]
[{"$nulls":4},"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 theunique 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."]