鉴于通常的Wigner算符是不正定的,我们提出将其经过以参数k表征的高斯函数光滑以后的广义Wigner算符,在证明其正定和完备性以后,将它发展为量子光场密度算符及其经典对应的新理论,特别地当k=1时,它退化为了在相干态表象中的P-表示.

In view of the non-positive-definite property of the usual Wigner operator,we proposed to smooth it by a Gaussian function with a real k-parameter and put it to be a generalized Wigner operator. After proving its completeness,we employed it to constitute a new quantization scheme. It was shown that when k=1,this theory reduces to the P-representation in coherent state basis.