Mapping of the position-dependent mass Schrödinger equation under point canonical transformation
Chen Gang (陈刚)
Department of Physics, Shaoxing College of Arts and Sciences, Shaoxing 312000, China; Institute of Materials Physics and Equipments, Shaoxing University, Shaoxing 312000, China
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.
Received: 12 July 2004
Revised: 04 August 2004
Accepted manuscript online:
PACS:
03.65.Ge
(Solutions of wave equations: bound states)
Cite this article:
Chen Gang (陈刚) Mapping of the position-dependent mass Schrödinger equation under point canonical transformation 2005 Chinese Physics 14 460
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