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

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

URL: http://arxiv.org/abs/2311.14211v1
Date: Thu, 23 Nov 2023 21:34:43 GMT
Title: Energy eigenstates of position-dependent mass particles in a spherical quantum dot
Authors: R. M. Lima and H. R. Christiansen
Abstract summary: We obtain the exact energy spectrum of nonuniform mass particles for a collection of Hamiltonians in a three-dimensional approach to a quantum dot. The present results are of interest to atomic physics and quantum dot theory.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
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 Schr\"odinger 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.

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