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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