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Proceedings Paper

On the Kantorovich approach for calculations of the hydrogen atom states affected by a train of short pulses
Author(s): O. Chuluunbaatar; A. A. Gusev; V. L. Derbov; M. S. Kaschiev; K. A. Kouzakov; V. V. Serov; V. N. Samoylov; T. V. Tupikova; S. I. Vinitsky
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Paper Abstract

We present theoretical calculations for the evolution of Zeeman states in a train of short electric half-cycle pulses (kicks). For the numerical solution of the corresponding time-dependent Schrodinger equation (TDSE) the high accuracy splitting scheme based on the unitary approximations of the evolution operator is developed. The finite element method is used for determining the spatial form of the solution. The efficiency and stability of the developed computational method is shown for 1D models in the cases of second-, forth-, and sixth-order accuracy with respect to the time step. Numerical calculations for the kicked hydrogen atom in the presence of magnetic field are performed using the scheme of the sixth-order accuracy with respect to a time step and both Galerkin and Kantorovich reductions of the problem with respect to the angular variables. For a particular choice of the electric- and magnetic-field parameters and the initial Zeeman state the corresponding results exhibit a two-state resonance picture.

Paper Details

Date Published: 8 August 2006
PDF: 16 pages
Proc. SPIE 6165, Saratov Fall Meeting 2005: Laser Physics and Photonics, Spectroscopy and Molecular Modeling VI, 61650C (8 August 2006); doi: 10.1117/12.696846
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)
K. A. Kouzakov, Moscow State Univ. (Russia)
V. V. Serov, Saratov State Univ. (Russia)
V. N. Samoylov, Joint Institute for Nuclear Research (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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