Smoothed Affine Wigner Transform
Agissilaos Athanassoulis (CMLS-EcolePolytechnique), Thierry Paul, (CMLS-EcolePolytechnique)
TL;DR
This paper introduces a generalized Husimi function using wavelets, resulting in a nonnegative phase-space density, and derives its evolution equation under Schrödinger dynamics.
Contribution
It presents a novel wavelet-based generalization of the Husimi function and formulates its phase-space evolution equation for quantum systems.
Findings
Provides a new nonnegative phase-space density for quantum states.
Derives the evolution equation for the generalized Husimi function.
Connects wavelet analysis with quantum phase-space methods.
Abstract
We study a generalization of Husimi function in the context of wavelets. This leads to a nonnegative density on phase-space for which we compute the evolution equation corresponding to a Schr\"Aodinger equation.
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