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

V. S. Popov, A. V. Sergeev

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9 Citations (Scopus)

Abstract

Using the imaginary time method, we study the structure of the perturbation series for the hydrogen atom in electric E and magnetic H fields. It is shown that there is a "critical" value of the ratio γ=H/E at which the perturbation series for the ground state changes from having a fixed sign (for γc) to having a variable sign (for y>yc). 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 yc depends on the angle θ between the electric and magnetic fields.

Original languageEnglish
Pages (from-to)1122-1126
Number of pages5
JournalJournal of Experimental and Theoretical Physics
Volume86
Issue number6
Publication statusPublished - 1998
Externally publishedYes

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perturbation theory
ionization
perturbation
atoms
hydrogen atoms
trajectories
ground state
electric fields
magnetic fields
electrons

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Ionization of atoms in weak fields and the asymptotic behavior of higher-order perturbation theory. / Popov, V. S.; Sergeev, A. V.

In: Journal of Experimental and Theoretical Physics, Vol. 86, No. 6, 1998, p. 1122-1126.

Research output: Contribution to journalArticle

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