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

R. M. Lima and H. R. Christiansen ()
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R. M. Lima: Centro Brasileiro de Pesquisas Físicas
H. R. Christiansen: Ciência e Tecnologia do Ceará

The European Physical Journal B: Condensed Matter and Complex Systems, 2023, vol. 96, issue 11, 1-9

Abstract: 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. Graphic Abstract

Date: 2023
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DOI: 10.1140/epjb/s10051-023-00620-0

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