Journal of Mathematical Physics 56(4) 042105 Apr 2015
We study low-energy expansion and high-energy expansion of reflection coefficients for one-dimensional Schrödinger equation, from which expansions of the Green function can be obtained. Making use of the equivalent Fokker-Planck equation, we devel...
JOURNAL OF MATHEMATICAL PHYSICS 56(4) 042105 Apr 2015
We study low-energy expansion and high-energy expansion of reflection coefficients for one-dimensional Schrodinger equation, from which expansions of the Green function can be obtained. Making use of the equivalent Fokker-Planck equation, we devel...
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 42(44) 445305 Nov 2009
We study the low-energy behavior of the Green function for one-dimensional Fokker-Planck and Schrodinger equations with periodic potentials. We derive a formula for the power series expansion of reflection coefficients in terms of the wave number,...