Low-energy asymptotic expansion of the Green function for one-dimensional Fokker-Planck and Schrödinger equations

Abstract

We consider Schrödinger equations and Fokker-Planck equations in one dimension, and study the low-energy asymptotic behavior of the Green function using a new method. In this method, the coefficient of the expansion in powers of the wave number can be systematically calculated to arbitrary order, and the behavior of the remainder term can be analyzed on the basis of an expression in terms of transmission and reflection coefficients.

References in corpus (2)

• Analysis of reflection coefficients for the Fokker-Planck equation
• High-energy asymptotic expansion of the Green function for one-dimensional Fokker-Planck and Schrödinger equations

Cited by in corpus (4)

• Low-energy expansion formula for one-dimensional Fokker-Planck and Schrödinger equations with periodic potentials
• Formulation of a unified method for low- and high-energy expansions in the analysis of reflection coefficients for one-dimensional Schrödinger equation
• Low-energy expansion formula for one-dimensional Fokker-Planck and Schrödinger equations with asymptotically periodic potentials
• SL(3,C) structure of one-dimensional Schrödinger equation