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