MISC

2006年6月2日

Analysis of reflection coefficients for the Fokker-Planck equation

Journal of Physics A: Mathematical and General
  • Toru Miyazawa

39
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.

リンク情報
DOI
https://doi.org/10.1088/0305-4470/39/22/015
ID情報
  • DOI : 10.1088/0305-4470/39/22/015
  • ISSN : 0305-4470
  • ISSN : 1361-6447
  • SCOPUS ID : 33646866981

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