书目名称 | Inequivalent Representations of Canonical Commutation and Anti-Commutation Relations |
副标题 | Representation-theor |
编辑 | Asao Arai |
视频video | http://file.papertrans.cn/465/464432/464432.mp4 |
概述 | Presents a unified viewpoint for quantum physics, both in quantum mechanics and quantum field theory.Clarifies physical meanings of inequivalent representations of CCR or CAR.Gives representation–theo |
丛书名称 | Mathematical Physics Studies |
图书封面 |  |
描述 | Canonical commutation relations (CCR) and canonical anti-commutation relations (CAR) are basic principles in quantum physics including both quantum mechanics with finite degrees of freedom and quantum field theory. From a structural viewpoint, quantum physics can be primarily understood as Hilbert space representations of CCR or CAR. There are many interesting physical phenomena which can be more clearly understood from a representation–theoretical viewpoint with CCR or CAR. This book provides an introduction to representation theories of CCR and CAR in view of quantum physics. Particular emphases are put on the importance of inequivalent representations of CCR or CAR, which may be related to characteristic physical phenomena. The topics presented include general theories of representations of CCR and CAR with finite and infinite degrees of freedom, the Aharonov–Bohm effect, time operators, quantum field theories based on Fock spaces, Bogoliubov transformations, and relations of infinite renormalizations with inequivalent representations of CCR. This book can be used as a text for an advanced topics course in mathematical physics or mathematics. |
出版日期 | Book 2020 |
关键词 | canonical commutation relations; canonical anti-commutation relations; time operator; quantum field; rep |
版次 | 1 |
doi | https://doi.org/10.1007/978-981-15-2180-5 |
isbn_softcover | 978-981-15-2182-9 |
isbn_ebook | 978-981-15-2180-5Series ISSN 0921-3767 Series E-ISSN 2352-3905 |
issn_series | 0921-3767 |
copyright | Springer Nature Singapore Pte Ltd. 2020 |