Generation of isospectral combinations of the potential and the effective-mass variations by supersymmetric quantum mechanics

Citation
V. Milanovic et Z. Ikonic, Generation of isospectral combinations of the potential and the effective-mass variations by supersymmetric quantum mechanics, J PHYS A, 32(40), 1999, pp. 7001-7015
Citations number
12
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
32
Issue
40
Year of publication
1999
Pages
7001 - 7015
Database
ISI
SICI code
0305-4470(19991008)32:40<7001:GOICOT>2.0.ZU;2-U
Abstract
The procedure is described for supersymmetric generation of combined potent ial and effective-mass variations, fully isospectral with an original poten tial. It relies on the standard supersymmetric technique, accompanied by th e coordinate transform method. It enables one to generate families of isosp ectral potentials and isospectral effective-mass variations, both generally different from their original forms, with the number of free parameters la rger than in the case of varying potential only, which may be of interest, e.g., in the design of semiconductor quantum wells.