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Journal of Experimental and Theoretical Physics -- June 1998 -- Volume 86, Issue 6, pp. 1122-1126

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Ionization of atoms in weak fields and the asymptotic behavior of higher-order perturbation theory

V. S. Popov

Institute of Theoretical and Experimental Physics, 117218 Moscow, Russia

A. V. Sergeev

Department of Chemistry, Southern Methodist University, P.O. Box 750314, Dallas, Texas, USA

Using the imaginary time method, we study the structure of the perturbation series for the hydrogen atom in electric and magnetic fields. It is shown that there is a ``critical'' value of the ratio = / at which the perturbation series for the ground state changes from having a fixed sign (for < _c) to having a variable sign (for > _c). This conclusion is confirmed by direct higher-order perturbation calculations. The change in the asymptotic regime is explained by competition among the contributions of the various complex trajectories that describe the subbarrier motion of the electrons. Here the parameter _c depends on the angle between the electric and magnetic fields. © 1998 American Institute of Physics.

PII: S1063-7761(98)01006-3
PACS: 34.50.Fa      Additional Information

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