6 citations · 20 across the 8 of their papers we have counts for
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Low-energy expansion formula for one-dimensional Fokker-Planck and Schrödinger equations with asymptotically periodic potentials
Toru Miyazawa
We consider one-dimensional Fokker-Planck and Schrödinger equations with a potential which approaches a periodic function at spatial infinity. We extend the low-energy expansion me…
Low-energy expansion formula for one-dimensional Fokker-Planck and Schrödinger equations with periodic potentials
Toru Miyazawa
We study the low-energy behavior of the Green function for one-dimensional Fokker-Planck and Schrödinger equations with periodic potentials. We derive a formula for the power serie…
Low-energy asymptotic expansion of the Green function for one-dimensional Fokker-Planck and Schrödinger equations
Toru Miyazawa
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 metho…
High-energy asymptotic expansion of the Green function for one-dimensional Fokker-Planck and Schrödinger equations
Toru Miyazawa
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 p…
Analysis of reflection coefficients for the Fokker-Planck equation
Toru Miyazawa
Mathematical structure of the reflection coefficients for the one-dimensional Fokker-Planck equation is studied. A new formalism using differential operators is introduced and appl…
Expressions of the Green function in terms of reflection coefficients
Toru Miyazawa
We study the one-dimensional Schrödinger equation and derive exact expressions for the Green function in terms of reflection coefficients which are defined for semi-infinite interv…