### 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>y_{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 yc depends on the angle θ between the electric and magnetic fields.

Original language | English |
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Pages (from-to) | 1122-1126 |

Number of pages | 5 |

Journal | Journal of Experimental and Theoretical Physics |

Volume | 86 |

Issue number | 6 |

Publication status | Published - 1998 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Journal of Experimental and Theoretical Physics*,

*86*(6), 1122-1126.

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

Research output: Contribution to journal › Article

*Journal of Experimental and Theoretical Physics*, vol. 86, no. 6, pp. 1122-1126.

}

TY - JOUR

T1 - Ionization of atoms in weak fields and the asymptotic behavior of higher-order perturbation theory

AU - Popov, V. S.

AU - Sergeev, A. V.

PY - 1998

Y1 - 1998

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0004607363&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0004607363&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0004607363

VL - 86

SP - 1122

EP - 1126

JO - Journal of Experimental and Theoretical Physics

JF - Journal of Experimental and Theoretical Physics

SN - 1063-7761

IS - 6

ER -