Translator Disclaimer
30 January 2014 Models of two-electron composite quantum systems
Author Affiliations +
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.
© (2014) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
S. Vinitsky, A. Gusev, O. Chuluunbaatar, V. Derbov, A. Klombotskaya, and A. Góźdź "Models of two-electron composite quantum systems", Proc. SPIE 9031, Saratov Fall Meeting 2013: Optical Technologies in Biophysics and Medicine XV; and Laser Physics and Photonics XV, 90311E (30 January 2014);

Back to Top