English

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

Quantum Physics 2007-05-23 v2

Abstract

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.

Keywords

Cite

@article{arxiv.quant-ph/0603134,
  title  = {Quantum particles trapped in a position-dependent mass barrier; a d-dimensional recipe},
  author = {Omar Mustafa and S. Habib Mazharimousavi},
  journal= {arXiv preprint arXiv:quant-ph/0603134},
  year   = {2007}
}

Comments

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

R2 v1 2026-07-22T19:54:09.635Z