Low-energy expansion formula for one-dimensional Fokker–Planck and Schrödinger equations with asymptotically periodic potentials

DOI10.1088/1751-8113/45/3/035302zbMath1235.81069arXiv1112.5846OpenAlexW3106044804MaRDI QIDQ3118799

Toru Miyazawa

Publication date: 5 March 2012

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

Full work available at URL: https://arxiv.org/abs/1112.5846

zbMATH Keywords

one-dimensional Fokker-Planck equationone-dimensional Schrödinger equationasymptotically periodic potentials

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Green's functions for ordinary differential equations (34B27) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31)

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