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Proceedings Article

Two electronic states in spherical quantum nanolayer

[+] Author Affiliations
N. G. Aghekyan, E. M. Kazaryan, A. A. Kostanyan

Russian-Armenian (Slavonic) State Univ. (Armenia)

H. A. Sarkisyan

Russian-Armenian Univ. (Armenia) and Yerevan State Univ. (Armenia)

Proc. SPIE 7998, International Conference on Laser Physics 2010, 79981C (March 04, 2011); doi:10.1117/12.890232
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From Conference Volume 7998

  • International Conference on Laser Physics 2010
  • Aram V. Papoyan
  • Ashtarak, Armenia | October 12, 2010

abstract

In this paper two electronic states in spherical quantum nanolayer are discussed. The Coulomb interaction between the electrons is discussed as perturbation. For confinement potential of the nanolayer the three-dimensional radial analog of Smorodinsky-Winternitz potential is considered. The problem is discussed within the frameworks of Russell-Saunders coupling scheme, thus, the spin-orbit interaction is considered weak. Therefore the eigenfunctions of the system is represented as a multiplication of its coordinate wave function and spin wave function. For this system the analogue of helium atom theory is represented. The eigenfunctions and energy states are obtained for one and two electron cases in the spherical quantum nanolayer. For the spherical nanolayer the dependence of perturbation energy, unperturbed system energy and the total energy for the ground state upon the inner radius is represented when the outer radius is fixed.

© (2010) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.
Citation

N. G. Aghekyan ; E. M. Kazaryan ; A. A. Kostanyan and H. A. Sarkisyan
"Two electronic states in spherical quantum nanolayer", Proc. SPIE 7998, International Conference on Laser Physics 2010, 79981C (March 04, 2011); doi:10.1117/12.890232; http://dx.doi.org/10.1117/12.890232


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