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

Ken Ichi Hiraizumi, Yoshihisa Ohshima, Hiroshi Suzuki

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)117-124
Number of pages8
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume216
Issue number1-5
DOIs
Publication statusPublished - Jun 17 1996

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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