2006年6月2日
Analysis of reflection coefficients for the Fokker-Planck equation
Journal of Physics A: Mathematical and General
- 巻
- 39
- 号
- 22
- 開始ページ
- 7015
- 終了ページ
- 7037
- 記述言語
- 英語
- 掲載種別
- DOI
- 10.1088/0305-4470/39/22/015
The mathematical structure of the reflection coefficients for the one-dimensional Fokker-Planck equation is studied. A new formalism using differential operators is introduced and applied to the analysis in the high- and low-energy regions. Formulae for high-energy and low-energy expansions are derived, and expressions for the coefficients of the expansion, as well as the remainder terms, are obtained for general forms of the potential. Conditions for the validity of these expansions are discussed on the basis of the analysis of the remainder terms. © 2006 IOP Publishing Ltd.
- ID情報
-
- DOI : 10.1088/0305-4470/39/22/015
- ISSN : 0305-4470
- ISSN : 1361-6447
- SCOPUS ID : 33646866981