https://doi.org/10.1140/epjb/s10051-023-00620-0
Regular Article - Mesoscopic and Nanoscale Systems
Energy eigenstates of position-dependent mass particles in a spherical quantum dot
1
Centro Brasileiro de Pesquisas Físicas, CEP 22290-180, Rio de Janeiro, Brazil
2
IFCE—Instituto Federal de Educação, Ciência e Tecnologia do Ceará, CEP 61940-750, Maranguape, Ceará, Brazil
b
hugo.christiansen@ifce.edu.br
Received:
21
July
2023
Accepted:
6
November
2023
Published online:
22
November
2023
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.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
