Issue |
EPL
Volume 87, Number 3, August 2009
|
|
---|---|---|
Article Number | 30003 | |
Number of page(s) | 4 | |
Section | General | |
DOI | https://doi.org/10.1209/0295-5075/87/30003 | |
Published online | 27 August 2009 |
Potential algebra approach to position-dependent mass Schrödinger equations
1
Department of Mathematics, R. S. Mahavidyalaya - Ghatal 721212, India
2
Physics & Applied Mathematics Unit, Indian Statistical Institute - Kolkata 700108, India
Corresponding authors: tapasisi@gmail.com pinaki@isical.ac.in
Received:
30
April
2009
Accepted:
23
July
2009
It is shown that for a class of position-dependent mass Schrödinger equations the shape invariance condition is equivalent to a potential symmetry algebra. Explicit realization of such algebras has been obtained for some shape-invariant potentials.
PACS: 03.65.Ca – Formalism / 03.65.Fd – Algebraic methods / 03.65.Ge – Solutions of wave equations: bound states
© EPLA, 2009
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