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

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

Mustafa, Omar; Mazharimousavi, Seyed Habib
URI: http://dx.doi.org/10.1016/j.physleta.2006.05.037
http://hdl.handle.net/11129/2686
Date: 2006-10-23

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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