Low-energy expansion formula for one-dimensionalFokker–Planck and Schrodinger equations withperiodic potentials

Toru Miyazawa

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Low-energy expansion formula for one-dimensionalFokker–Planck and Schrodinger equations withperiodic potentials

机译：具有周期势的一维Fokker-Planck和Schrodinger方程的低能膨胀公式

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摘要

We study the low-energy behavior of the Green function for one-dimensionalFokker—Planck and Schrodinger equations with periodic potentials. We derivea formula for the power series expansion of reflection coefficients in termsof the wave number, and apply it to the low-energy expansion of the Greenfunction.

机译：我们研究具有周期性势的一维Fokker-Planck和Schrodinger方程的Green函数的低能行为。我们根据波数推导了反射系数的幂级数展开式，并将其应用于格林函数的低能级展开。

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《Journal of physics, A. Mathematical and theoretical》 |2009年第44期|共32页
作者
Toru Miyazawa;
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原文格式 PDF
正文语种 eng
中图分类物理学;
关键词
Low-energy; Fokker–Planck; Schrodinger equations;

机译：低能;福克-普朗克;薛定inger方程;

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专利

1. Low-energy expansion formula for one-dimensionalFokker–Planck and Schrodinger equations withperiodic potentials [J] . Toru Miyazawa Journal of physics, A. Mathematical and theoretical . 2009,第44期

机译：具有周期势的一维Fokker-Planck和Schrodinger方程的低能膨胀公式
2. Low-energy asymptotic expansion of the Green function for one-dimensional Fokker-Planck and Schrodinger equations [J] . Miyazawa T Journal of physics, A. Mathematical and theoretical . 2010,第4期

机译：一维Fokker-Planck和Schrodinger方程Green函数的低能量渐近展开
3. Low-energy asymptotic expansion of the Green function for one-dimensional Fokker-Planck and Schrodinger equations [J] . Miyazawa T Journal of physics, A. Mathematical and theoretical . 2008,第31期

机译：一维Fokker-Planck和Schrodinger方程Green函数的低能量渐近展开
4. Staticization-based representations for Schrodinger equations driven by Coulomb potentials [C] . William M. McEneaney, Peter M. Dower IFAC Workshop on Thermodynamic Foundations of Mathematical Systems Theory . 2020

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5. Asymptotic dynamics of trapped solitons of nonlinear Schrodinger equations with potentials. [D] . Zhou, Gang. 2007

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6. Electrodiffusion Models of Neurons and Extracellular Space Using the Poisson-Nernst-Planck Equations—Numerical Simulation of the Intra- and Extracellular Potential for an Axon Model [O] . Jurgis Pods, Johannes Schönke, Peter Bastian 2013

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7. Low-energy expansion formula for one-dimensional Fokker-Planck and Schr"odinger equations with periodic potentials [O] . Miyazawa, Toru 2011

机译：一维Fokker-planck和。的低能膨胀公式具有周期势的schr \“odinger方程

Low-energy expansion formula for one-dimensionalFokker–Planck and Schrodinger equations withperiodic potentials

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