| 书目名称 | Gauge Invariance and Weyl-polymer Quantization | | 编辑 | Franco Strocchi | | 视频video | | | 概述 | First primer on this emerging topic.Written by a leading expert in the field.Suitable as advanced textbook and as self-study guide.Includes supplementary material: | | 丛书名称 | Lecture Notes in Physics | | 图书封面 |  | | 描述 | .The book gives an introduction to Weyl non-regular quantization suitable for the description of physically interesting quantum systems, where the traditional Dirac-Heisenberg quantization is not applicable. The latter implicitly assumes that the canonical variables describe observables, entailing necessarily the regularity of their exponentials (Weyl operators). However, in physically interesting cases -- typically in the presence of a gauge symmetry -- non-observable canonical variables are introduced for the description of the states, namely of the relevant representations of the observable algebra..In general, a gauge invariant ground state defines a non-regular representation of the gauge dependent Weyl operators, providing a mathematically consistent treatment of familiar quantum systems -- such as the electron in a periodic potential (Bloch electron), the Quantum Hall electron, or the quantum particle on a circle -- where the gauge transformations are, respectively, the lattice translations, the magnetic translations and the rotations of 2π. .Relevant examples are also provided by quantum gauge field theory models, in particular by the temporal gauge of Quantum Electrodynami | | 出版日期 | Book 2016 | | 关键词 | Canonical commutation relations; Gauge-invariant ground states; Non-regular representations of the Hei | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-17695-6 | | isbn_softcover | 978-3-319-17694-9 | | isbn_ebook | 978-3-319-17695-6Series ISSN 0075-8450 Series E-ISSN 1616-6361 | | issn_series | 0075-8450 | | copyright | Springer International Publishing Switzerland 2016 |
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发表于 2025-3-21 16:12:43
