中国物理B ›› 2015, Vol. 24 ›› Issue (6): 60301-060301.doi: 10.1088/1674-1056/24/6/060301

• GENERAL • 上一篇    下一篇

Solutions of the D-dimensional Schrödinger equation with Killingbeck potential: Lie algebraic approach

H. Panahia, S. Zarrinkamarb, M. Baradarana   

  1. a Department of Physics, University of Guilan, Rasht 41635-1914, Iran;
    b Department of Basic Sciences, Garmsar Branch, Islamic Azad University, Garmsar, Iran
  • 收稿日期:2014-09-21 修回日期:2015-01-22 出版日期:2015-06-05 发布日期:2015-06-05

Solutions of the D-dimensional Schrödinger equation with Killingbeck potential: Lie algebraic approach

H. Panahia, S. Zarrinkamarb, M. Baradarana   

  1. a Department of Physics, University of Guilan, Rasht 41635-1914, Iran;
    b Department of Basic Sciences, Garmsar Branch, Islamic Azad University, Garmsar, Iran
  • Received:2014-09-21 Revised:2015-01-22 Online:2015-06-05 Published:2015-06-05
  • Contact: H. Panahi, S. Zarrinkamar, M. Baradaran E-mail:t-panahi@guilan.ac.ir;zarrinkamar.s@gmail.com;marzie.baradaran@yahoo.com
  • About author:03.65.-w; 03.65.Fd; 03.65.Ge

摘要: Algebraic solutions of the D-dimensional Schrödinger equation with Killingbeck potential are investigated using the Lie algebraic approach within the framework of quasi-exact solvability. The spectrum and wavefunctions of the system are reported and the allowed values of the potential parameters are obtained through the sl(2) algebraization.

关键词: quasi-exactly solvable, Schrö, dinger equation, Killingbeck potential, sl(2) Lie algebra, representation theory

Abstract: Algebraic solutions of the D-dimensional Schrödinger equation with Killingbeck potential are investigated using the Lie algebraic approach within the framework of quasi-exact solvability. The spectrum and wavefunctions of the system are reported and the allowed values of the potential parameters are obtained through the sl(2) algebraization.

Key words: quasi-exactly solvable, Schrödinger equation, Killingbeck potential, sl(2) Lie algebra, representation theory

中图分类号:  (Quantum mechanics)

  • 03.65.-w
03.65.Fd (Algebraic methods) 03.65.Ge (Solutions of wave equations: bound states)