The hydrogen atom in strong electric fields: Summation of the weak field series expansion

Ken Ichi Hiraizumi, Yoshihisa Ohshima, Hiroshi Suzuki

研究成果: Contribution to journalArticle査読

4 被引用数 (Scopus)

抄録

The order dependent mapping method, whose convergence has recently been proven for the energy eigenvalue of the anharmonic oscillator, is applied to re-sum the standard perturbation series for the Stark effect of the hydrogen atom. We perform a numerical experiment up to the 50th order of the perturbation expansion. A simple mapping, suggested by the analytic structure and the strong field behavior, gives an excellent agreement with the exact value for an intermediate range of the electric field, 0.03 (a.u.) ≤ E ≤ 0.25 (a.u.). The imaginary part of the energy (the decay width) as well as the real part of the energy is reproduced from the standard perturbation series.

本文言語英語
ページ(範囲)117-124
ページ数8
ジャーナルPhysics Letters, Section A: General, Atomic and Solid State Physics
216
1-5
DOI
出版ステータス出版済み - 6 17 1996
外部発表はい

All Science Journal Classification (ASJC) codes

  • 物理学および天文学(全般)

フィンガープリント

「The hydrogen atom in strong electric fields: Summation of the weak field series expansion」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル