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.
Similar content being viewed by others
References
Soylu, A., Bayrak, O., Boztosun, I.: Int. Mod. Phys. E 15, 1263 (2006)
Villalba, V.M., Pino, R.: Mod. Phys. Lett. B 17, 1331 (2003); Physica B 315, 289 (2002); Physica E 10, 561 (2001)
Pino, R., Villalba, V.M.: Physica Status Solidi B 211, 641 (1999)
Johnson, N.F.: J. Phys. Condens. Matter 7 965
Grene, R.L., Bajaj, K.K.: Phys. Rev. B 31, 913 (1985)
Kandemir, B.S.: Phys. Rev. B 72, 165350 (2005); J. Math. Phys. 46 32110 (2005)
Elsaid, M.K.: Physica Scripta 75, 436 (2007)
Gönül, B., Köksal, K.: Physica Scripta 75, 686 (2007)
Levai, G.: J. Phys. A Math. Gen. 22, 689 (1989)
Gönül, B., Koçak, M.: Chin. Phys. Lett. 24, 3024 (2007)
Gönül, B., Köksal, K.: Physica Scripta 76, 565 (2007)
Abramowitz, M., Stegun, I.A.: Handbook of Mathematical Functions. Dover, New York (1970)
Turbiner, A.: Phys. Rev. A 50, 5335 (1994)
Taut, M.: Phys. Rev. A 48, 3561 (1993)
Chiang, C.-M., Ho, C.-L.: Phys. Rev. A 63, 62105 (2001)
Koç, R., Tütüncüler, H., Olğar, E.: J. Kor. Phys. Soc. 45, 837 (2004)
Truong, T.T., Bazali, D.: Phys. Lett. A 269, 186 (2000)
Klama, S.: Mishchenko. J. Phys. Condens. Matter 10, 3411 (1998)
Ashori, et al.: Phys. Rev. Lett. 71, 613 (1993)
Merkt, U., Huser, J., Wagner, M.: Phys. Rev. B 43, 7320 (1991)
Wagner, M., Merkt, U., Chaplik, A.V.: Phys. Rev. B 45, 1951 (1992)
Author information
Authors and Affiliations
Corresponding author
Rights 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
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-008-9742-x