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Energy spectrum of an electron confined in the hexagon-shaped quantum well

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Abstract

Considering the hexagonal-shaped quantum-scale formations on the surface of thin semiconductor films, a methodology was developed to obtain the analytical solution of the Schrödinger equation when impenetrable walls of a quantum well are treated as mirrors. The results obtained allowed the calculation of the space probability distributions and the energy spectrum of the particle confined in a hexagonal- shaped well.

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Authors and Affiliations

  1. CINVESTAV Unidad Querétaro, Libramiento Norponiente #2000, 76230, Querétaro, Mexico

    Yu. V. Vorobiev

  2. Centro de FÍsica das Interacções Fundamentais, Av. Rovisco Pais, 1049-001, Lisboa, Portugal

    V. R. Vieira & P. P. Horley

  3. Yuri Fedkovych Chernivtsi National University, 2 Kotsyubynsky str., 58012, Chernivtsi, Ukraine

    P. P. Horley & P. N. Gorley

  4. CIMAV, 120 Miguel de Cervantes, 31109, Chihuahua, Mexico

    J. González-Hernández

Authors
  1. Yu. V. Vorobiev
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  2. V. R. Vieira
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  3. P. P. Horley
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  4. P. N. Gorley
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  5. J. González-Hernández
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Corresponding author

Correspondence to Yu. V. Vorobiev.

Additional information

Supported partially by the FCT Projects PTDC/FIS/70843/2006, SFRH/BPD/26825/ 2006 (Portugal) and STCU (Grant No. 3098) (Ukraine)

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Vorobiev, Y.V., Vieira, V.R., Horley, P.P. et al. Energy spectrum of an electron confined in the hexagon-shaped quantum well. Sci. China Ser. E-Technol. Sci. 52, 15–18 (2009). https://doi.org/10.1007/s11431-008-0348-6

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  • DOI: https://doi.org/10.1007/s11431-008-0348-6

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