Solutions of the nonrelativistic wave equation with position-dependent effective mass
- 24 October 2002
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 66 (4) , 042116
Abstract
Given a spatially dependent mass distribution, we obtain potential functions for exactly solvable nonrelativistic problems. The energy spectrum of the bound states and their wave functions are written down explicitly. This is accomplished by mapping the wave equation for these systems into well-known exactly solvable Schrödinger equations with constant mass using point canonical transformation. The Oscillator, Coulomb, and Morse class of potentials are considered.Keywords
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This publication has 60 references indexed in Scilit:
- Relativistic extension of shape-invariant potentialsJournal of Physics A: General Physics, 2002
- Relativistic extension of shape-invariant potentialsJournal of Physics A: General Physics, 2001
- Supersymmetric approach to quantum systems with position-dependent effective massPhysical Review A, 1999
- Solvable potentials associated with su(1,1) algebras: a systematic studyJournal of Physics A: General Physics, 1994
- Mapping of shape invariant potentials under point canonical transformationsJournal of Physics A: General Physics, 1992
- Exact solutions for nonpolynomial potentials in N-space dimensions using a factorization method and supersymmetryJournal of Mathematical Physics, 1991
- Supersymmetric quantum mechanics of one-dimensional systemsJournal of Physics A: General Physics, 1985
- Aspects of supersymmetric quantum mechanicsAnnals of Physics, 1983
- Potential Scattering, Transfer Matrix, and Group TheoryPhysical Review Letters, 1983
- General properties of potentials for which the Schrödinger equation can be solved by means of hypergeometric functionsTheoretical and Mathematical Physics, 1979