Quantum particles trapped in a position-dependent mass barrier; a d-dimensional recipe
classification
🪐 quant-ph
keywords
d-dimensionalmassposition-dependentpotentialadmitsbarrierconsidereffective
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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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