中国物理B ›› 2005, Vol. 14 ›› Issue (3): 460-462.doi: 10.1088/1009-1963/14/3/004

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Mapping of the position-dependent mass Schr?dinger equation under point canonical transformation

陈刚   

  1. Department of Physics, Shaoxing College of Arts and Sciences, Shaoxing 312000, China; Institute of Materials Physics and Equipments, Shaoxing University, Shaoxing 312000, China
  • 收稿日期:2004-07-12 修回日期:2004-08-04 出版日期:2005-03-02 发布日期:2005-03-02

Mapping of the position-dependent mass Schrödinger equation under point canonical transformation

Chen Gang (陈刚)   

  1. Department of Physics, Shaoxing College of Arts and Sciences, Shaoxing 312000, China; Institute of Materials Physics and Equipments, Shaoxing University, Shaoxing 312000, China
  • Received:2004-07-12 Revised:2004-08-04 Online:2005-03-02 Published:2005-03-02

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摘要： In this paper, the three-dimensional radial position-dependent mass Schr?dinger equation is exactly solved through mapping this wave equation into the constant mass Schr?dinger equation with Coulomb potential by means of point canonical transformation. The wavefunctions here can be given in terms of confluent hypergeometric functions.

关键词: position-dependent mass, Coulomb potential, point canonical transformation

Abstract: In this paper, the three-dimensional radial position-dependent mass Schr?dinger equation is exactly solved through mapping this wave equation into the constant mass Schr?dinger equation with Coulomb potential by means of point canonical transformation. The wavefunctions here can be given in terms of confluent hypergeometric functions.

Key words: position-dependent mass, Coulomb potential, point canonical transformation

中图分类号:  (Solutions of wave equations: bound states)

  • 03.65.Ge