Inequivalent Representations of Canonical Commutation and Anti Commutation Relations is popular PDF and ePub book, written by Asao Arai in 2020-02-04, it is a fantastic choice for those who relish reading online the Science genre. Let's immerse ourselves in this engaging Science book by exploring the summary and details provided below. Remember, Inequivalent Representations of Canonical Commutation and Anti Commutation Relations can be Read Online from any device for your convenience.
Inequivalent Representations of Canonical Commutation and Anti Commutation Relations Book PDF Summary
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.
Detail Book of Inequivalent Representations of Canonical Commutation and Anti Commutation Relations PDF
- Author : Asao Arai
- Release : 04 February 2020
- Publisher : Springer Nature
- ISBN : 9789811521805
- Genre : Science
- Total Page : 505 pages
- Language : English
- PDF File Size : 8,7 Mb
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