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

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  • R. M. Lima

    (Centro Brasileiro de Pesquisas Físicas)

  • H. R. Christiansen

    (Ciência e Tecnologia do Ceará)

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

Suggested Citation

  • R. M. Lima & H. R. Christiansen, 2023. "Energy eigenstates of position-dependent mass particles in a spherical quantum dot," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(11), pages 1-9, November.
    • Handle: RePEc:spr:eurphb:v:96:y:2023:i:11:d:10.1140_epjb_s10051-023-00620-0
    DOI: 10.1140/epjb/s10051-023-00620-0
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