In this paper, we consider inclusion relations of $CW_{\omega _{1},\omega
 _{2},\omega _{3},\omega _{4}}^{p,q,r,s,\tau }\left( 
 %TCIMACRO{\U{211d} }%
 %BeginExpansion
 \mathbb{R}
 %EndExpansion
 \right) $ spaces functions whose Wigner transforms are in weighted
 Lebesgue spaces. We then discuss compact embeddings theorems between these
 function

Coherent transport in mesoscopic devices is well described by the Schrödinger equation supplemented by open boundary conditions. When electronic devices are operated at room temperature, however, a realistic transport model needs to include carrier scattering. In this work the kinetic equation for the Wigner function is employed as a model for dissipative quantum transport. Carrier scattering i...

A new approach has been proposed for improving the performance of the Wigner–Ville distribution. This approach is based on signal decomposition and modified magnitude group delay function. Signal decomposition achieved by perfect reconstruction filter bank reduces significantly the existence of crossterms. The Gibbs ripple effect is due to truncation of the Wigner–Ville distribution kernel. The...

We define the Wigner entropy of a quantum state as differential Shannon function state. This quantity is properly defined only for states that possess positive function, which we name Wigner-positive states, but argue it proper measure uncertainty in phase space. It invariant under symplectic transformations (displacements, rotations, and squeezing) conjecture lower bounded by $ln\ensuremath{\p...