Representations of Canonical Commutation Relations with Finite Degrees of Freedom

Asao Arai

doi:10.1007/978-981-15-2180-5_2

Representations of Canonical Commutation Relations with Finite Degrees of Freedom

Asao Arai

https://doi.org/10.1007/978-981-15-2180-5_2

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Publication Date: Jan 1, 2020

Affiliation: Hokkaido University

#Representations Of Canonical Commutation Relations #Finite Degrees Of Freedom + Show 8 more

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Abstract

A general theory of representations of canonical commutation relations (CCR) with finite degrees of freedom is presented. For each N = 1, 2, …, the representations of the CCR with N degrees of freedom have some sub-classes. Fundamental properties of each of them are derived. Some examples of representations are given, including Schrodinger and Born–Heisenberg–Jordan representations. Physical correspondences of representations of CCR are discussed.

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