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arXiv · 2311.14211

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

R. M. Lima·H. R. Christiansen
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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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R. M. Lima, H. R. Christiansen. 2023-11-23. Energy eigenstates of position-dependent mass particles in a spherical quantum dot. https://doi.org/10.1140/epjb%2Fs10051-023-00620-0

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