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arXiv · hep-th/9512197

The Hydrogen Atom in Strong Electric Fields: Summation of the Weak Field Series Expansion

Ken-ichi Hiraizumi·Yoshihisa Ohshima·Hiroshi Suzuki
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Abstract

The order dependent mapping method, its convergence has recently been proven for the energy eigenvalue of the anharmonic oscillator, is applied to re-sum the standard perturbation series for Stark effect of the hydrogen atom. We perform a numerical experiment up to the fiftieth 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, $0.03\leq E\leq0.25$. 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.

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Ken-ichi Hiraizumi, Yoshihisa Ohshima, Hiroshi Suzuki. 1995-12-25. The Hydrogen Atom in Strong Electric Fields: Summation of the Weak Field Series Expansion. https://doi.org/10.1016/0375-9601(96)00243-5

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