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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.
N. G. Aghekyan,E. M. Kazaryan,A. A. Kostanyan, andH. A. Sarkisyan
"Two electronic states in spherical quantum nanolayer", Proc. SPIE 7998, International Conference on Laser Physics 2010, 79981C (4 March 2011); https://doi.org/10.1117/12.890232
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N. G. Aghekyan, E. M. Kazaryan, A. A. Kostanyan, H. A. Sarkisyan, "Two electronic states in spherical quantum nanolayer," Proc. SPIE 7998, International Conference on Laser Physics 2010, 79981C (4 March 2011); https://doi.org/10.1117/12.890232