Generalized husimi functions: Analyticity and information content

Generalised Husimi Functions: Analyticity and Information Content

The analytic properties of a class of Generalised Husimi Functions are discussed, with particular reference to the problem of state reconstruction. The class consists of the subset of Wódkiewicz's operational probability distributions for which the filter reference state is a squeezed vacuum state. The fact that the function is analytic means that perfectly precise knowledge of its values over ...

Escort–Husimi distributions, Fisher information and nonextensivity

We evaluate generalized information measures constructed with Husimi distributions and connect them with the Wehrl entropy, on the one hand, and with thermal uncertainty relations, on the other one. The concept of escort distribution plays a central role in such a study. A new interpretation concerning the meaning of the nonextensivity index q is thereby provided. A physical lower bound for q i...

Husimi Distribution and the Fisher Information

Semiclassical Husimi functions for spin systems

Rigorous derivation of semiclassical approximations in phase space via path integrals [1] for systems with one degree of freedom have recently received considerable attention, both for continuous variables and spin systems. Baranger et al [2], for example, have discussed the canonical coherent state path integral and its semiclassical approximation in some detail, including an initial-value rep...

Generalized matrix functions, determinant and permanent

In this paper, using permutation matrices or symmetric matrices, necessary and sufficient conditions are given for a generalized matrix function to be the determinant or the permanent. We prove that a generalized matrix function is the determinant or the permanent if and only if it preserves the product of symmetric permutation matrices. Also we show that a generalized matrix function is the de...