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Mathematical modeling of quantum well potentials via generalized Darboux transformations

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Abstract

The Darboux transformation operator technique is applied to the generalized Schrodinger equation with a position-dependent effective mass and with linearly energy-dependent potentials. It is shown how to construct the quantum well potentials in nanoelectronic with a given spectrum. The method is illustrated by several examples.

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Authors and Affiliations

  1. Joint Institute for Nuclear Research, 141980, Dubna, Russia

    A. A. Suzko & E. P. Velicheva

  2. Joint Institute for Power and Nuclear Research, National Academy of Sciences of Belarus, Minsk, Russia

    A. A. Suzko

Authors
  1. A. A. Suzko
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  2. E. P. Velicheva
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Suzko, A.A., Velicheva, E.P. Mathematical modeling of quantum well potentials via generalized Darboux transformations. Phys. Part. Nuclei Lett. 8, 458–462 (2011). https://doi.org/10.1134/S1547477111050207

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