中国物理B ›› 2012, Vol. 21 ›› Issue (1): 10303-010303.doi: 10.1088/1674-1056/21/1/010303

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Asymptotic iteration approach to supersymmetric bistable potentials

H. Ciftci, O. Özer, P. Roy   

  1. Gazi üniversitesi, Fen-Edebiyat Fakültesi, Fizik Bölümü, 06500 Teknikokullar-Ankara, Turkey
  • 收稿日期:2010-03-16 修回日期:2011-06-13 出版日期:2012-01-15 发布日期:2012-01-20

Asymptotic iteration approach to supersymmetric bistable potentials

H. Ciftcia), O. Özerb), and P. Royc)   

  1. a Gazi üniversitesi, Fen-Edebiyat Fakültesi, Fizik Bölümü, 06500 Teknikokullar-Ankara, Turkey; b Department of Engineering Physics, Faculty of Engineering, University of Gaziantep, 27310 Gaziantep, Turkey; c Physics and Applied Mathematics Unit, Indian Statistical Institute, Calcutta 700035, India
  • Received:2010-03-16 Revised:2011-06-13 Online:2012-01-15 Published:2012-01-20

摘要: We examine quasi exactly solvable bistable potentials and their supersymmetric partners within the framework of the asymptotic iteration method (AIM). It is shown that the AIM produces excellent approximate spectra and that some×it is found to be more useful to use the partner potential for computation. We also discuss the direct application of the AIM to the Fokker-Planck equation.

关键词: bistable potentials, asymptotic iteration

Abstract: We examine quasi exactly solvable bistable potentials and their supersymmetric partners within the framework of the asymptotic iteration method (AIM). It is shown that the AIM produces excellent approximate spectra and that some×it is found to be more useful to use the partner potential for computation. We also discuss the direct application of the AIM to the Fokker-Planck equation.

Key words: bistable potentials, asymptotic iteration

中图分类号:  (Functional analytical methods)

  • 03.65.Db
03.65.Fd (Algebraic methods)