Preserving Coherence of Coherent State Studied via Weyl-Wigner Correspondence

Weifeng Wu, Hong-Yi Fan

LiMei Zhang, Ting Gao, FengLi Yan

Fan Hong-Yi, 吕翠红 L Cui-hong, Yun‐Jie Xia

By means of the Weyl correspondence and the explicit normally ordered expression of the Wigner operator we convert the time evolution equation of coherent states, governed by some Hamiltonian operators, into seeking for consistent solution of a set of evolution equtions of classical variables which can meet the requirment that an initial coherent state remains coherent all the time.

Fan Hong-Yi, Ruan Tu-Nan

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.

Monique Combescure, Didier Robert

Fan Hong‐Yi

By using the normal ordering form of the coordinate,momentum completeness,we directly and concisely introduce the Wigner operator and then illustrate its relation with the Weyl correspondence.The coherent state representation of the Wigner operator is also neatly derived.