| 书目名称 | C*-Algebras and Mathematical Foundations of Quantum Statistical Mechanics |
| 副标题 | An Introduction |
| 编辑 | Jean-Bernard Bru,Walter Alberto de Siqueira Pedra |
| 视频video | http://file.papertrans.cn/221/220037/220037.mp4 |
| 概述 | Provides a comprehensive introduction to the mathematical foundations of quantum statistical physics.Bridges a gap between the mathematics and physics communities around the quantum many-body problem. |
| 丛书名称 | Latin American Mathematics Series |
| 图书封面 |  |
| 描述 | .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 analysi |
| 出版日期 | Textbook 2023 |
| 关键词 | quantum statistical mechanics; mathematical foundations of quantum theory; phase transitions; quantum m |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-031-28949-1 |
| isbn_softcover | 978-3-031-28951-4 |
| isbn_ebook | 978-3-031-28949-1Series ISSN 2524-6755 Series E-ISSN 2524-6763 |
| issn_series | 2524-6755 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
|Archiver|手机版|小黑屋|
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