Low-energy expansion formula for one-dimensional Fokker-Planck and Schr\"odinger equations with periodic potentials
Abstract
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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