Low-energy expansion formula for one-dimensional Fokker-Planck and   Schr\"odinger equations with asymptotically periodic potentials
  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. 
Toru Miyazawa
math-ph cond-mat.stat-mech math.MP quant-ph