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Coulomb states in nanostructures, accidental degeneracy, and the Laplace-Runge-Lenz operator

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Abstract

The energy-level structure of spatially indirect Coulomb complexes is investigated. Two limiting cases that correspond to the two-dimensional hydrogen atom and planar isotropic harmonic oscillator are characterized by accidental degeneracy are considered. Numerical calculations are used to trace the evolution of the energy-level structure between these two limiting cases.

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Authors and Affiliations

  1. Ioffe Physical-Technical Institute, Russian Academy of Sciences, St. Petersburg, 194021, Russia

    M. A. Semina & R. A. Suris

Authors
  1. M. A. Semina
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  2. R. A. Suris
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Correspondence to M. A. Semina.

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Original Russian Text © M.A. Semina, R.A. Suris, 2011, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2011, Vol. 94, No. 7, pp. 614–618.

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Semina, M.A., Suris, R.A. Coulomb states in nanostructures, accidental degeneracy, and the Laplace-Runge-Lenz operator. Jetp Lett. 94, 574–578 (2011). https://doi.org/10.1134/S0021364011190155

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  • DOI: https://doi.org/10.1134/S0021364011190155

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