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

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

2011-12-26

arxiv.org/abs/1112.5846v1

J. Phys. A: Math. Theor. 45 (2012) 035302

Physics

Mathematical Physics

author-created, un-copyedited version of an article accepted for publication in Journal of Physics A: Mathematical and Theoret

Scientific paper

10.1088/1751-8113/45/3/035302

We consider one-dimensional Fokker-Planck and Schr\"odinger equations with a
potential which approaches a periodic function at spatial infinity. We extend
the low-energy expansion method, which was introduced in previous papers, to be
applicable to such asymptotically periodic cases. Using this method, we study
the low-energy behavior of the Green function.

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