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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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Representations of Canonical Anti-commutation Relations with Finite Degrees of Freedom,Basic facts on representations of canonical anti-commutation relations with finite degrees of freedom are described.
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Representations of CCR with Infinite Degrees of Freedom,A general theory of representations of CCR with infinite degrees of freedom is presented. A basic class of such representations, called Fock representations, is described. Moreover, deformations of Fock representations are discussed.
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Physical Correspondences in Quantum Field Theory,It is shown that there are correspondences between characteristic physical situations or phenomena in quantum field theory and inequivalent representations of CCR or CAR.
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https://doi.org/10.1007/978-981-15-2180-5canonical commutation relations; canonical anti-commutation relations; time operator; quantum field; rep
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Inequivalent Representations of Canonical Commutation and Anti-Commutation Relations978-981-15-2180-5Series ISSN 0921-3767 Series E-ISSN 2352-3905
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0921-3767 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.978-981-15-2182-9978-981-15-2180-5Series ISSN 0921-3767 Series E-ISSN 2352-3905
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