A singular position-dependent mass particle in an infinite potential well

Abstract

We consider an unusual singular position=dependent-mass particle in an infinite potential well. The corresponding Hamiltonian is mapped through a point-canonical-transformation and an explicit correspondence between the target Hamiltonian and a Poschl-Teller type reference Hamiltonian is obtained. New ordering ambiguity parametric setting are suggested.

13 pages, no figures. To appear in Phys. Lett. A

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