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Proceedings Paper

Models of two-electron composite quantum systems
Author(s): S. Vinitsky; A. Gusev; O. Chuluunbaatar; V. Derbov; A. Klombotskaya; A. Góźdź
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Paper Abstract

Aimed at applications to the photonics of composite two-electron quantum systems like a helium atom in hyper­ spherical coordinates, the boundary value problem (BVP) for a system of coupled self-adjoined 3D elliptic partial differential equations of the Schrodinger type with homogeneous third-type boundary conditions is formulated in coupled-channel adiabatic approach. The Kantorovich reduction of the problem to BVPs for ordinary second­-order differential equations (ODEs) with respect to functions of a single hyper-radial variable is implemented by expanding the solution over a set of surface (angular) functions that depend on the hyper-radial variable as a parameter. Benchmark calculations are presented by the example of the ground and first excited states of a Helium atom. The convergence of the results with respect to the number of the surface functions and their components is studied. The comparison with the known results is presented.

Paper Details

Date Published: 30 January 2014
PDF: 14 pages
Proc. SPIE 9031, Saratov Fall Meeting 2013: Optical Technologies in Biophysics and Medicine XV; and Laser Physics and Photonics XV, 90311E (30 January 2014); doi: 10.1117/12.2049714
Show Author Affiliations
S. Vinitsky, Joint Institute for Nuclear Research (Russian Federation)
A. Gusev, Joint Institute for Nuclear Research (Russian Federation)
O. Chuluunbaatar, Joint Institute for Nuclear Research (Russian Federation)
V. Derbov, N.G. Chernyshevsky Saratov State Univ. (Russian Federation)
A. Klombotskaya, Yu. A. Gagarin Saratov State Technical Univ. (Russian Federation)
A. Góźdź, Univ. of Maria Curie-Skłodowska (Poland)


Published in SPIE Proceedings Vol. 9031:
Saratov Fall Meeting 2013: Optical Technologies in Biophysics and Medicine XV; and Laser Physics and Photonics XV
Elina A. Genina; Vladimir L. Derbov; Igor Meglinski; Valery V. Tuchin, Editor(s)

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