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

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

2011-12-26

arxiv.org/abs/1112.5838v1

J. Phys. A: Math. Theor. 42 (2009) 445305

Physics

Mathematical Physics

Scientific paper

10.1088/1751-8113/42/44/445305

We study the low-energy behavior of the Green function for one-dimensional
Fokker-Planck and Schr\"odinger 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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