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

doi:10.1088/1009-1963/14/3/004

Abstract

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.

Keywords: position-dependent mass Coulomb potential point canonical transformation

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

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