| 书目名称 | Geometric Phases in Classical and Quantum Mechanics |
| 编辑 | Dariusz Chruściński,Andrzej Jamiołkowski |
| 视频video | |
| 概述 | Several well-established geometric and topological methods are used in this work.Examines geometric phases bringing together different physical phenomena under a unified mathematical scheme.Material h |
| 丛书名称 | Progress in Mathematical Physics |
| 图书封面 |  |
| 描述 | .This work examines the beautiful and important physical concept known as the ‘geometric phase,‘ bringing together different physical phenomena under a unified mathematical and physical scheme. ...Several well-established geometric and topological methods underscore the mathematical treatment of the subject, emphasizing a coherent perspective at a rather sophisticated level. What is unique in this text is that both the quantum and classical phases are studied from a geometric point of view, providing valuable insights into their relationship that have not been previously emphasized at the textbook level. ...Key Topics and Features: ...• Background material presents basic mathematical tools on manifolds and differential forms. ...• Topological invariants (Chern classes and homotopy theory) are explained in simple and concrete language, with emphasis on physical applications. ...• Berry‘s adiabatic phase and its generalization are introduced. ...• Systematic exposition treats different geometries (e.g., symplectic and metric structures) living on a quantum phase space, in connection with both abelian and nonabelian phases. ...• Quantum mechanics is presented as classical Hamiltonian |
| 出版日期 | Textbook 2004 |
| 关键词 | Chern class; Homotopy; Matrix; classical mechanics; classical/quantum mechanics; differential geometry; ho |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-0-8176-8176-0 |
| isbn_softcover | 978-1-4612-6475-0 |
| isbn_ebook | 978-0-8176-8176-0Series ISSN 1544-9998 Series E-ISSN 2197-1846 |
| issn_series | 1544-9998 |
| copyright | Springer Science+Business Media New York 2004 |
发表于 2025-3-21 18:05:59
