A New Phase Space Density for Quantum Expectations

DOI10.1137/15M1028388zbMath1332.81108arXiv1506.08880OpenAlexW3102570425MaRDI QIDQ5744669

Tomoki Ohsawa, Caroline Lasser, Johannes Keller

Publication date: 19 February 2016

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.08880

zbMATH Keywords

expectation valuestime-dependent Schrödinger equationHusimi functionsEgorov's theorem

Mathematics Subject Classification ID

Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Applications to the sciences (65Z05) Numerical integration (65D30)

Related Items (4)

Computing quantum dynamics in the semiclassical regime ⋮ Symplectic semiclassical wave packet dynamics II: non-Gaussian states ⋮ The spectrogram expansion of Wigner functions ⋮ Polyanalytic Toeplitz operators: isomorphisms, symbolic calculus and approximation of Weyl operators

Cites Work

• A note on reassigned Gabor spectrograms of Hermite functions
• Hagedorn wavepackets in time-frequency and phase space
• Coarse-scale representations and smoothed Wigner transforms
• Autour de l'approximation semi-classique. (Around semiclassical approximation)
• On Wigner measures
• Uniform semiclassical estimates for the propagation of quantum observables.
• Symplectic semiclassical wave packet dynamics
• Propagation of Quantum Expectations with Husimi Functions
• Corrections to Wigner type phase space methods
• Computing Expectation Values for Molecular Quantum Dynamics
• Computing Semiclassical Quantum Dynamics with Hagedorn Wavepackets
• Symplectic Methods in Harmonic Analysis and in Mathematical Physics
• Harmonic Analysis in Phase Space. (AM-122)
• Homogenization limits and Wigner transforms
• Low-discrepancy point sets for non-uniform measures
• An introduction to semiclassical and microlocal analysis
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A New Phase Space Density for Quantum Expectations