Quantization in Polar Coordinates and the Phase Operator | Zendy

D. A. Dubin | Zendy; Mark A. Hennings | Zendy; Thomas Smith | Zendy

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Quantization in Polar Coordinates and the Phase Operator

Author(s) -

D. A. Dubin,

Mark A. Hennings,

Thomas Smith

Publication year - 1994

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.2977/prims/1195165908

Subject(s) - mathematics , polar , polar coordinate system , log polar coordinates , operator (biology) , quantization (signal processing) , generalized coordinates , mathematical analysis , geometry , physics , algorithm , chemistry , quantum mechanics , biochemistry , repressor , transcription factor , gene

We review some of the difficulties previously encountered in defining the phase operator for finite quantum systems. We then propose the Wigner-Weyl quantization of the angle function q> on phase space as the phase operator, and derive a closed expression for its matrix elements with respect to the Hermite functions. We also determine the quantization of el

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