The Local Wigner-Ville Distribution (LWVD) extends the Cohen's class time-frequency distributions (TFD) by the de nition of a kernel for each time-frequency point(local kernel). The subject of the paper is the determination of these local kernels for interference reduction. Starting from the simple idea of the local limitation of the Wigner-Ville TFD integral bounds, a method is presented to es...

The Wigner distribution of rotationally symmetric partially coherent light is considered and the constraints for its moments are derived. While all odd– order moments vanish, these constraints lead to a drastic reduction in the number of parameters that we need to describe all even–order moments: whereas in general we have (N + 1)(N + 2)(N + 3)/6 different moments of order N , this number reduc...

We review the main features of the Weyl-Wigner formulation of noncommutative quantum mechanics. In particular, we present a ⋆-product and a Moyal bracket suitable for this theory as well as the concept of noncommutative Wigner function. The properties of these quasi-distributions are discussed as well as their relation to the sets of ordinary Wigner functions and positive Liouville probability ...

The hybrid architecture of the driven qubit–photon–magnon system has recently emerged as a promising candidate for novel quantum technologies. In this paper, we introduce effective wave-function superconducting single qubit and magnon mode contained within cavity resonator an external field. non-classicality modes are investigated by using negative values Wigner function. Additionally, discuss ...

The Wigner function $W_N({\bf x}, {\bf p})$ is a useful quantity to characterize the quantum fluctuations of an $N$-body system in its phase space. Here we study for $N$ noninteracting spinless fermions $d$-dimensional spherical hard box radius $R$ at temperature $T=0$. In large limit, local density approximation (LDA) predicts that p}) \approx 1/(2 \pi \hbar)^d$ inside finite region $({\bf pla...