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

Abstract

A new formalism is presented for high-energy analysis of the Green function for Fokker-Planck and Schrödinger equations in one dimension. Formulas for the asymptotic expansion in powers of the inverse wave number are derived, and conditions for the validity of the expansion are studied through the analysis of the remainder term. The short-time expansion of the Green function is also discussed.

References in corpus (1)

• Analysis of reflection coefficients for the Fokker-Planck equation

Cited by in corpus (2)

• Low-energy asymptotic expansion of the Green function for one-dimensional Fokker-Planck and Schrödinger equations
• Formulation of a unified method for low- and high-energy expansions in the analysis of reflection coefficients for one-dimensional Schrödinger equation