| Issue |
EPL
Volume 111, Number 2, July 2015
|
|
|---|---|---|
| Article Number | 20005 | |
| Number of page(s) | 6 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/111/20005 | |
| Published online | 07 August 2015 | |
Ladder operators and associated algebra for position-dependent effective mass systems
School of Natural Sciences, National University of Sciences and Technology - H-12, Islamabad, Pakistan
Received: 29 March 2015
Accepted: 17 July 2015
An algebraic treatment of shape-invariant quantum-mechanical position-dependent effective mass systems is discussed. Using shape invariance, a general recipe for construction of ladder operators and associated algebraic structure of the pertaining system, is obtained. These operators are used to find exact solutions of general one-dimensional systems with spatially varying mass. We apply our formalism to specific translationally shape-invariant potentials having position-dependent effective mass.
PACS: 03.65.Ge – Solutions of wave equations: bound states / 03.65.Ca – Formalism / 03.65.Fd – Algebraic methods
© EPLA, 2015
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