Smoothed affine Wigner transform

DOI10.1016/j.acha.2010.03.001zbMath1188.81124arXiv1007.0079OpenAlexW3098803628MaRDI QIDQ970374

Thierry Paul, Agissilaos G. Athanassoulis

Publication date: 17 May 2010

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.0079

zbMATH Keywords

Wigner functionwaveletHusimi function

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

Related Items

Wigner measures supported on weak KAM tori, Mather measures associated with a class of Bloch wave functions

Cites Work

• Coarse-scale representations and smoothed Wigner transforms
• Parity operator and quantization of \(\delta\)-functions
• On Wigner measures
• The semi-classical trace formula and propagation of wave packets
• Transforms associated to square integrable group representations. I. General results
• A class of affine Wigner functions with extended covariance properties
• Homogenization limits and Wigner transforms