Skip to main content
Log in

Two Electrons in a Quantum Dot: A Unified Approach

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

Low-lying energy levels of two interacting electrons confined in a two-dimensional parabolic quantum dot in the presence of an external magnetic field have been revised within the frame of a novel model. The present formalism, which gives closed algebraic solutions for the specific values of magnetic field and spatial confinement length, enables us to see explicitly individual effects of the electron correlation.

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. Soylu, A., Bayrak, O., Boztosun, I.: Int. Mod. Phys. E 15, 1263 (2006)

    Article  ADS  Google Scholar 

  2. Villalba, V.M., Pino, R.: Mod. Phys. Lett. B 17, 1331 (2003); Physica B 315, 289 (2002); Physica E 10, 561 (2001)

    Article  MATH  ADS  Google Scholar 

  3. Pino, R., Villalba, V.M.: Physica Status Solidi B 211, 641 (1999)

    Article  ADS  Google Scholar 

  4. Johnson, N.F.: J. Phys. Condens. Matter 7 965

  5. Grene, R.L., Bajaj, K.K.: Phys. Rev. B 31, 913 (1985)

    Article  ADS  Google Scholar 

  6. Kandemir, B.S.: Phys. Rev. B 72, 165350 (2005); J. Math. Phys. 46 32110 (2005)

    Article  ADS  Google Scholar 

  7. Elsaid, M.K.: Physica Scripta 75, 436 (2007)

    Article  ADS  Google Scholar 

  8. Gönül, B., Köksal, K.: Physica Scripta 75, 686 (2007)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  9. Levai, G.: J. Phys. A Math. Gen. 22, 689 (1989)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  10. Gönül, B., Koçak, M.: Chin. Phys. Lett. 24, 3024 (2007)

    Article  ADS  Google Scholar 

  11. Gönül, B., Köksal, K.: Physica Scripta 76, 565 (2007)

    Article  MATH  ADS  Google Scholar 

  12. Abramowitz, M., Stegun, I.A.: Handbook of Mathematical Functions. Dover, New York (1970)

    Google Scholar 

  13. Turbiner, A.: Phys. Rev. A 50, 5335 (1994)

    Article  ADS  Google Scholar 

  14. Taut, M.: Phys. Rev. A 48, 3561 (1993)

    Article  ADS  Google Scholar 

  15. Chiang, C.-M., Ho, C.-L.: Phys. Rev. A 63, 62105 (2001)

    Article  ADS  Google Scholar 

  16. Koç, R., Tütüncüler, H., Olğar, E.: J. Kor. Phys. Soc. 45, 837 (2004)

    Google Scholar 

  17. Truong, T.T., Bazali, D.: Phys. Lett. A 269, 186 (2000)

    Article  ADS  Google Scholar 

  18. Klama, S.: Mishchenko. J. Phys. Condens. Matter 10, 3411 (1998)

    Article  ADS  Google Scholar 

  19. Ashori, et al.: Phys. Rev. Lett. 71, 613 (1993)

    Article  ADS  Google Scholar 

  20. Merkt, U., Huser, J., Wagner, M.: Phys. Rev. B 43, 7320 (1991)

    Article  ADS  Google Scholar 

  21. Wagner, M., Merkt, U., Chaplik, A.V.: Phys. Rev. B 45, 1951 (1992)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Bülent Gönül.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gönül, B., Bakır, E. & Köksal, K. Two Electrons in a Quantum Dot: A Unified Approach. Int J Theor Phys 47, 3091–3100 (2008). https://doi.org/10.1007/s10773-008-9742-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-008-9742-x

Keywords

Navigation