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arXiv · 1112.5838

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

Toru Miyazawa
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Abstract

We study the low-energy behavior of the Green function for one-dimensional Fokker-Planck and Schrödinger equations with periodic potentials. We derive a formula for the power series expansion of reflection coefficients in terms of the wave number, and apply it to the low-energy expansion of the Green function.

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Toru Miyazawa. 2011-12-26. Low-energy expansion formula for one-dimensional Fokker-Planck and Schrödinger equations with periodic potentials. https://doi.org/10.1088/1751-8113%2F42%2F44%2F445305

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