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

2007/04/25 by Sid-Ahmed Yahiaoui, Yahiaoui, S. -A., H. Zerguini +3
Engineering · #03.65.Ca #03.65.Ge #Elasticity and Wave Propagation #FOS: Physical sciences #Mathematical Physics (math-ph) #PACS: 03.65.Fd

paper · pdf · doi:10.48550/arxiv.0704.3425

openalex publication_date 2007/04/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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