New Solvable Shape-Invariant Potentials for Position-Dependent Effective Mass

Details New Solvable Shape-Invariant Potentials for Position-Dependent Effective Mass New Solvable Shape-Invariant Potentials for Position-Dependent Effective Mass

2007-04-25

arxiv.org/abs/0704.3425v1

Physics

Mathematical Physics

20 pages, 0 figure

Scientific paper

Four new exactly solvable, real and shape-invariant potentials associated with a position-dependent effective mass are generated within the concept of shape-invariant potentials using a specific ansatz for superpotential. The accompanying energy spectra of the bound-state and the ground-state wavefunction are obtained algebraically as a function of free parameters and the results are compared with those of others works in the litterature.

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