Strong Phase-Space Semiclassical Asymptotics

DOI10.1137/10078712XzbMath1235.81099arXiv1002.1371OpenAlexW2067942920MaRDI QIDQ3116277

Thierry Paul, Agissilaos G. Athanassoulis

Publication date: 22 February 2012

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

Full work available at URL: https://arxiv.org/abs/1002.1371

zbMATH Keywords

(smoothed) Wigner transformregularity of Wigner equationsemiclassical limit in strong topology

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) 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)

Related Items (8)

On the selection of the classical limit for potentials with BV derivatives ⋮ Wigner measures supported on weak KAM tori ⋮ Semiclassical regularization of Vlasov equations and wavepackets for nonlinear Schrödinger equations ⋮ Convergence rate in Wasserstein distance and semiclassical limit for the defocusing logarithmic Schrödinger equation ⋮ STRONG AND WEAK SEMICLASSICAL LIMIT FOR SOME ROUGH HAMILTONIANS ⋮ Mather measures associated with a class of Bloch wave functions ⋮ Semiclassical limit of quantum dynamics with rough potentials and well‐posedness of transport equations with measure initial data ⋮ The Hartree and Vlasov equations at positive density

This page was built for publication: Strong Phase-Space Semiclassical Asymptotics