摘要

We introduce a generalized positive-definite operator Delta(g)(q, p) by smoothing out the Wigner operator Delta(w)(q, p) and by averaging over the "coarse graining" function. The function is then regarded as the classical Weyl correspondence of the operator Delta(g)(q, p); in this way we can easily identify a quantum state |Phi > such that Delta(g)(q, p) = |Phi > turns out to be a new kind of squeezed coherent state. Correspondingly, the generalized distribution function for any state |psi > is = ||(2), which is obviously positive-definite and is a generalization of the Husimi function.