Communications in Theoretical Physics

Coherent State Formulation of the Weyl Correspondence and the Wigner Function

Fan Hong-Yi, Ruan Tu-Nan

Published Nov 1, 1983• 48 citations

Abstract

We point out that there is a close connection between the Weyl correspondence and coherent state correspondence. By virtue of differential and integral method within normal ordered products we demonstrate that the essence of the Weyl correspondence is just coherent state correspondence in both boson and fermion cases. Furthermore, coherent state form and explicit operator form for the Wigner function are given. With these forms we can derive some important operator formulas from the Weyl correspondence. The Wigner function's zero-point value is also discussed.

DOI: 10.1088/0253-6102/2/6/1563

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