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

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

2006-03-15

arxiv.org/abs/quant-ph/0603134v2

Phys. Lett. A 358, 259 (2006)

Physics

Quantum Physics

6 pages, no figures, to appear in Phys. Lett. A

Scientific paper

10.1016/j.physleta.2006.05.037

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

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