Localization of multidimensional Wigner distributions

DOI10.1063/1.3486068zbMath1314.81129arXiv1007.1796OpenAlexW3100864141MaRDI QIDQ5253937

Yaron Ostrover, Elliott H. Lieb

Publication date: 5 June 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.1796

Mathematics Subject Classification ID

Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

Related Items (5)

Mehler's formula and functional calculus ⋮ Mixed-state localization operators: Cohen's class and trace class operators ⋮ What is the Wigner Function Closest to a Given Square Integrable Function? ⋮ On integrals over a convex set of the Wigner distribution ⋮ On the existence of optimizers for time-frequency concentration problems

Cites Work

• Foundations of time-frequency analysis
• The fractional Fourier transform and its application to energy localization problems
• Time-Frequency Localization via the Weyl Correspondence
• Integral bounds for radar ambiguity functions and Wigner distributions
• Some comments on Fourier analysis, uncertainty and modeling
• Positivity of Weighted Wigner Distributions
• State reconstruction and irregular wavefunctions for the hydrogen atom
• On the Quantum Correction For Thermodynamic Equilibrium
• Bounds on Integrals of the Wigner Function
• Mathematical Aspects of the Weyl Correspondence
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - I
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