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New formulation of Weyl quantization scheme in coherent state representation. (English) Zbl 1223.81129

Summary: By virtue of the technique of integration within an ordered product of operators we present a new formulation of the Weyl quantization scheme in the coherent state representation, which not only brings convenience for calculating the Weyl correspondence of normally ordered operators, but also directly leads us to find both the coherent state representation and the Weyl ordering representation of the Wigner operator.

MSC:

81S30 Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics
81R30 Coherent states
81S05 Commutation relations and statistics as related to quantum mechanics (general)
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