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High-energy asymptotic expansion of the Green function for one-dimensional Fokker–Planck and Schrödinger equations

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Publication:5757547
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DOI10.1088/1751-8113/40/30/006zbMath1189.82089arXiv1112.5835OpenAlexW3016098404MaRDI QIDQ5757547

Toru Miyazawa

Publication date: 7 September 2007

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

Full work available at URL: https://arxiv.org/abs/1112.5835



Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Fundamental solutions to PDEs (35A08) PDEs in connection with quantum mechanics (35Q40) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Initial value problems for second-order parabolic equations (35K15)


Related Items (1)

Formulation of a unified method for low- and high-energy expansions in the analysis of reflection coefficients for one-dimensional Schrödinger equation







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