Energy eigenstates of position-dependent mass particles in a spherical quantum dot

Abstract

We obtain the exact energy spectrum of nonuniform mass particles for a collection of Hamiltonians in a three-dimensional approach to a quantum dot. By considering a set of generalized Schrödinger equations with different orderings between the particle's momentum and mass, the energy bound-states are calculated analytically for hard boundary conditions. The present results are of interest in atomic physics and quantum dot theory.

arXiv comment13 pages, 10 figures

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Cited by in corpus (4)

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• Electronic states in a bilayer graphene quantum ripple