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
- 巻
- 56
- 号
- 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.
- リンク情報
- ID情報
-
- DOI : 10.1063/1.4918552
- ISSN : 0022-2488
- eISSN : 1089-7658
- Web of Science ID : WOS:000353833400018