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arxiv: 1112.5838 · v1 · pith:H5RKZCVTnew · submitted 2011-12-26 · 🧮 math-ph · cond-mat.stat-mech· math.MP· quant-ph

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

classification 🧮 math-ph cond-mat.stat-mechmath.MPquant-ph
keywords expansionlow-energyequationsfokker-planckformulafunctiongreenodinger
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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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