Skip to main content
Log in

Impurity states in a spherical quantum dot with a modified Pöschel-Teller potential

  • Published:
Journal of Contemporary Physics (Armenian Academy of Sciences) Aims and scope

Abstract

Quantum states and energy levels of an electron in a spherical quantum dot with a modified Pöschel-Teller potential are studied. Analytical expressions for the wave function and energy of particle in the absence of impurity are obtained. Within the framework of variational method the impurity states are studied and by using numerical methods the dependences of the particle energy on the parameters of the spherical quantum dot are derived. Dependences of the electron binding energy on the half-width and depth of the potential well are revealed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Harrison, P., Quantum Wells, Wires and Dots. Theoretical and Computational Physics, New York: Wiley, 2005.

    Book  Google Scholar 

  2. Self-Assembled InGaAs-GaAs Quantum Dots, Willardson, R.K. and Weber, E.R., eds., San Diego: Academic Press, 1999.

    Google Scholar 

  3. Gusev, A.A., Chuluunbaatar, O., Vinitsky, S.L., Kazaryan, E.M., and Sarkisyan, H.A., J. Phys.: Conf. Series, 2010, vol. 248, p. 012047.

    Article  ADS  Google Scholar 

  4. Ayrapetyan D.B., J. Contemp. Phys. (Armenian Ac. Sci.), 2007, vol. 42, p. 292.

    Article  ADS  Google Scholar 

  5. Kazaryan, E.M., Petrosyan, L.S., and Sarkisyan, H.A., Int. J. Mod. Phys. B, 2001, vol. 15, p. 4103.

    Article  ADS  Google Scholar 

  6. Ayrapetyan, D.B., Dvoyan, K.G., Kazaryan E.M, and Tevosyan, H.Kh., Proc. Int. Conf. Rosnano-2009, Moscow, October 6–8, 2009, p. 10.

  7. Ayrapetyan, D.B., Dvoyan, K.G., Kazaryan E.M, and Chanchapanyan, A.A., DAN RA, 2008, vol. 108, p. 320.

    Google Scholar 

  8. Kazaryan, A.M. and Kazaryan E.M., FTP, 1997, vol. 7, p. 1383.

    Google Scholar 

  9. Bastard, G., Phys. Rev. B, 1981, vol. 24, p. 4714.

    Article  ADS  Google Scholar 

  10. Oliveira, L.E. and Perez-Alvarez, R., Phys. Rev. B, 1989, vol. 40, p. 10460.

    Article  ADS  Google Scholar 

  11. Kazaryan, E.M., Kostanyan, A.A., and Sarkisyan, H.A., Physica E, 2005, vol. 28, p. 423.

    Article  ADS  Google Scholar 

  12. Kazaryan, E.M., Kostanyan, A.A., and Sarkisyan, H.A., J. Phys.: Cond. Matt., 2007, vol. 19, p. 046212.

    Article  ADS  Google Scholar 

  13. Landau, L.D. and Lifshitz, E.M., Kvantovaya mekhanika (Quantum Mechanics), Moscow: Nauka, 1989.

    MATH  Google Scholar 

  14. Abramowitz, M. and Stegun, I.A., Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, New York: Dover, 1965.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text © H.Kh. Tevosyan, 2012, published in Izvestiya NAN Armenii, Fizika, 2012, Vol. 47, No. 6, pp. 427–432.

About this article

Cite this article

Tevosyan, H.K. Impurity states in a spherical quantum dot with a modified Pöschel-Teller potential. J. Contemp. Phys. 47, 282–285 (2012). https://doi.org/10.3103/S1068337212060060

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1068337212060060

Keywords

Navigation