On some properties of number-phase Wigner function

Abstract

It is shown that the number-phase Wigner function defines uniquely the respective density operator. Relations between the Glauber-Sudarshan distribution $\mathcal{P}(\alpha )$ and the number-phase Wigner function is found. This result is then generalised to the case of the Cahil-Glauber distributions ${\mathcal{W}}^{(s)}(\alpha )$, $-1\le s\le 1$.

10 pages, 1 figure

Cited by in corpus (1)

• From the discrete Weyl -- Wigner formalism for symmetric ordering to a number -- phase Wigner function