Regularized semiclassical limits: linear flows with infinite Lyapunov exponents

DOI10.4310/CMS.2016.v14.n7.a3zbMath1356.81159arXiv1403.7935OpenAlexW803219384MaRDI QIDQ345974

Irene Kyza, Theodoros Katsaounis, Agissilaos G. Athanassoulis

Publication date: 5 December 2016

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.7935

zbMATH Keywords

a posteriori error controlWigner transformselection principlemultivalued flowsemiclassical limit for rough potential

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Transport processes in time-dependent statistical mechanics (82C70) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Continuation and prolongation of solutions to PDEs (35B60) Vlasov equations (35Q83) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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