On the selection of the classical limit for potentials with BV derivatives

DOI10.1007/s10884-012-9284-zzbMath1267.81158arXiv1201.5622OpenAlexW3098948306MaRDI QIDQ1949249

Agissilaos G. Athanassoulis, Thierry Paul

Publication date: 6 May 2013

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.5622

zbMATH Keywords

Schrödinger equationquantum mechanicssemiclassical limitBV vector fieldsrough potentials

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) 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 (2)

The semiclassical limit of a quantum Zeno dynamics ⋮ Semiclassical regularization of Vlasov equations and wavepackets for nonlinear Schrödinger equations

Cites Work

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• Transport equation and Cauchy problem for BV vector fields
• Ordinary differential equations, transport theory and Sobolev spaces
• On Wigner measures
• Essential self-adjointness of Schrödinger operators with singular potentials
• Strong Phase-Space Semiclassical Asymptotics
• On the equivalence of the Schrödinger and the quantum Liouville equations
• Homogenization limits and Wigner transforms
• STRONG AND WEAK SEMICLASSICAL LIMIT FOR SOME ROUGH HAMILTONIANS
• Semiclassical limit for mixed states with singular and rough potentials
• Semiclassical limit of quantum dynamics with rough potentials and well‐posedness of transport equations with measure initial data

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