Quantum particles trapped in a position-dependent mass barrier; a d-dimensional recipe

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Elsevier

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info:eu-repo/semantics/closedAccess

Abstract

We consider a free particle, V (r) = 0, with a position-dependent mass m(r) = 1/(1 + ς2r2)2 in the d-dimensional Schrödinger equation. The effective potential turns out to be a generalized Pöschl–Teller potential that admits exact solution.

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Keywords

Quantum Particles, Dependent Mass Barrier, Dimensional Recipe

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Physics Letters A

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Volume

358

Issue

4

Citation

O. Mustafa and S. Habib Mazharimousavi, Phys. Lett. A 358, 258 (2006): arXiv: quant-ph/0603134 Quantum particles trapped in a position-dependent mass barriers; a d-dimensional recipe .X

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