A transformation property of the Wigner distribution under Hamiltonian symplectomorphisms

DOI10.1007/s11868-011-0023-8zbMath1278.46038OpenAlexW1969509781MaRDI QIDQ390318

Maurice A. De Gosson

Publication date: 8 January 2014

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-011-0023-8

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

Related Items

Maximal covariance group of Wigner transforms and pseudo-differential operators, On the Weinstein-Wigner transform and Weinstein-Weyl transform

Cites Work

• When is the Wigner quasi-probability density non-negative?
• Parity operator and quantization of \(\delta\)-functions
• Weyl transforms
• Foundations of time-frequency analysis
• A Note on Hudson’s Theorem about Functions with Nonnegative Wigner Distributions
• Harmonic Analysis in Phase Space. (AM-122)
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