Three-dimensional effective mass Schrödinger equation: harmonic and Morse-type potential solutions.

Abstract:

:In this work, a scheme to generate exact wave functions and eigenvalues for the spherically symmetric three-dimensional position-dependent effective mass Schrödinger equation is presented. The methodology is implemented by means of separation of variables and point canonical transformations that allow to recognize a radial dependent equation with important differences as compared with the one-dimensional position dependent mass problem, which has been widely studied. This situation deserves to consider the boundary conditions of the emergent problem. To obtain specific exact solutions, the methodology requires known solutions of ordinary one-dimensional Schrödinger equations. We have preferred those applications that use the harmonic oscillator and the Morse oscillator solutions.

journal_name

J Mol Model

authors

Ovando G,Morales J,López-Bonilla JL

doi

10.1007/s00894-012-1600-3

subject

Has Abstract

pub_date

2013-05-01 00:00:00

pages

2007-14

issue

5

eissn

1610-2940

issn

0948-5023

journal_volume

19

pub_type

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