MISC

2015年4月

Formulation of a unified method for low- and high-energy expansions in the analysis of reflection coefficients for one-dimensional Schrodinger equation

JOURNAL OF MATHEMATICAL PHYSICS
  • Toru Miyazawa

56
4
開始ページ
042105
終了ページ
記述言語
英語
掲載種別
DOI
10.1063/1.4918552
出版者・発行元
AMER INST PHYSICS

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 develop a generalized formulation of a method for deriving these expansions in a unified manner. In this formalism, the underlying algebraic structure of the problem can be clearly understood, and the basic formulas necessary for the expansions can be derived in a natural way. We also examine the validity of the expansions for various asymptotic behaviors of the potential at spatial infinity. (C) 2015 AIP Publishing LLC.

Web of Science ® 被引用回数 : 1

リンク情報
DOI
https://doi.org/10.1063/1.4918552
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000353833400018&DestApp=WOS_CPL

エクスポート
BibTeX RIS