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Journal of Physical Studies 16(3), Article 3702 [7 pages] (2012)
DOI: https://doi.org/10.30970/jps.16.3702 ONE-ELECTRON STATES IN THE OSCILLATOR-COULOMB MODEL OF THE QUANTUM DOTG. V. Ponedilok, M. I. Klapchuk
National University ‟Lvivska Politekhnika”, |
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One-electron states of the quantum dot modelled by a spherically symmetric oscillator-Coulomb potential are studied. The proposed model generalizes the known parabolic model of the quantum dot. The transcendental equation for the electron spectrum and expressions for the wave functions are obtained. The dependence of the one-electron spectrum on the quantum dot effective size and other parameters of the model potential are found. These parameters can serve as control parameters to optimize the energy structure of a spherical quantum dot in order to obtain real structures with predetermined physical and chemical properties. The conditions of applicability of the model to describe electronic properties of metallic and semiconducting quantum dots are studied. The obtained results are compared with other models of the quantum dot -- spherical, rectangular and parabolic.
PACS number(s): 73.22.-f, 73.21.La, 73.22.Dj