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 journalArticle

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
Externally publishedYes

Fingerprint

series expansion
hydrogen atoms
perturbation
electric fields
Stark effect
energy
eigenvalues
oscillators
expansion
decay

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

The hydrogen atom in strong electric fields : Summation of the weak field series expansion. / Hiraizumi, Ken Ichi; Ohshima, Yoshihisa; Suzuki, Hiroshi.

In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 216, No. 1-5, 17.06.1996, p. 117-124.

Research output: Contribution to journalArticle

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