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Proceedings Paper

On an effective approximation of the Kantorovich method for calculations of a hydrogen atom in a strong magnetic field
Author(s): O. Chuluunbaatar; A. A. Gusev; V. L. Derbov; M. S. Kaschiev; V. V. Serov; T. V. Tupikova; S. I. Vinitsky
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Paper Abstract

A new effective method of calculating the wave functions of discrete and continuous spectra of a hydrogen atom in a strong magnetic field is developed based on the Kantorovich approach to the parametric eigenvalue problems in spherical coordinates. The two-dimensional spectral problem for the Schrodinger equation with fixed magnetic quantum number and parity is reduced to a spectral parametric problem for a one-dimensional equation for the angular variable and a finite set of ordinary second-order differential equations for the radial variable. A canonical transformation is applied to approximate the finite set of radial equations by means of a new radial equation describing an open channel. The rate of convergence is examined numerically and illustrated with a set of typical examples. The results are in good agreement with calculations by other authors.

Paper Details

Date Published: 8 August 2006
PDF: 17 pages
Proc. SPIE 6165, Saratov Fall Meeting 2005: Laser Physics and Photonics, Spectroscopy and Molecular Modeling VI, 61650B (8 August 2006); doi: 10.1117/12.696845
Show Author Affiliations
O. Chuluunbaatar, Joint Institute for Nuclear Research (Russia)
A. A. Gusev, Joint Institute for Nuclear Research (Russia)
V. L. Derbov, Saratov State Univ. (Russia)
M. S. Kaschiev, Institute of Mathematics and Informatics (Bulgaria)
V. V. Serov, Saratov State Univ. (Russia)
T. V. Tupikova, Joint Institute for Nuclear Research (Russia)
S. I. Vinitsky, Joint Institute for Nuclear Research (Russia)


Published in SPIE Proceedings Vol. 6165:
Saratov Fall Meeting 2005: Laser Physics and Photonics, Spectroscopy and Molecular Modeling VI
Vladimir L. Derbov; Leonid A. Melnikov; Lev M. Babkov, Editor(s)

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