摘要
We introduce a generalized positive-definite operator △g（q,p） by smoothing out the Wigner operator △w（q,p） and by averaging over the ＂coarse graining＂ function. The function is then regarded as the classical Wey1 correspondence of the operator △g（q,p）; in this way we can easily identify a quantum state ｜Ф} such that △9 （q, p） = ｜Ф} 〈Ф｜, and ｜Ф} turns out to be a new kind of squeezed coherent state. Correspondingly, the generalized distribution function for any state ｜φ} is 〈φ｜△g（q,p）φ} = ｜{Ф｜φ〉}｜^2, which is obviously positive-definite and is a generalization of the Husimi function.
We introduce a generalized positive-definite operator △g（q,p） by smoothing out the Wigner operator △w（q,p） and by averaging over the ＂coarse graining＂ function. The function is then regarded as the classical Wey1 correspondence of the operator △g（q,p）; in this way we can easily identify a quantum state ｜Ф} such that △9 （q, p） = ｜Ф} 〈Ф｜, and ｜Ф} turns out to be a new kind of squeezed coherent state. Correspondingly, the generalized distribution function for any state ｜φ} is 〈φ｜△g（q,p）φ} = ｜{Ф｜φ〉}｜^2, which is obviously positive-definite and is a generalization of the Husimi function.
基金
Supported by the National Natural Science Foundation of China under Grant Nos 10775097 and 10874174.
