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Titlebook: Inequivalent Representations of Canonical Commutation and Anti-Commutation Relations; Representation-theor Asao Arai Book 2020 Springer Nat

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發(fā)表于 2025-3-21 17:57:08 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Inequivalent Representations of Canonical Commutation and Anti-Commutation Relations
副標(biāo)題Representation-theor
編輯Asao Arai
視頻videohttp://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
叢書名稱Mathematical Physics Studies
圖書封面Titlebook: Inequivalent Representations of Canonical Commutation and Anti-Commutation Relations; Representation-theor Asao Arai Book 2020 Springer Nat
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
關(guān)鍵詞canonical commutation relations; canonical anti-commutation relations; time operator; quantum field; rep
版次1
doihttps://doi.org/10.1007/978-981-15-2180-5
isbn_softcover978-981-15-2182-9
isbn_ebook978-981-15-2180-5Series ISSN 0921-3767 Series E-ISSN 2352-3905
issn_series 0921-3767
copyrightSpringer Nature Singapore Pte Ltd. 2020
The information of publication is updating

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,Aharonov–Bohm Effect and Inequivalent Representations of CCR,. and . for different vector potentials . and . is discussed. For a vector potential . fixed, ..?:=?.. may be regarded as a representation depending on the charge .. A necessary and sufficient condition for .. to be inequivalent to . (.) is given.
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Asao Araialse, matching, short-answer, sentence-completion, and cloze-procedure formats. Each format has been described in turn, with a basic description of each, followed by a discussion of its advantages and criticisms, and finally an explanation of peculiarities and unique considerations to bear in mind w
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Asao Arai a test‘s scores flows directly from the quality ofits items and exercises. Concomitant with score interpretability isthe notion that including only carefully crafted items on a test isthe primary method by which the skilled test developer reducesunwanted error variance, or errors of measurement, an
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