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Existence and Borel summability of resonances in hydrogen stark effect

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Abstract

Existence of resonances in hydrogen Stark effect is proved. It is also proved that the divergent time-independent perturbation expansions are Borel summable to the resonances, and a simple application of the Borel-Padé method for computing their position and width is indicated.

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References

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Authors and Affiliations

  1. Istituto Matematico, Università di Modena, Modena, Italy

    Sandro Graffi

  2. Istituto di Fisica, Università di Modena, Modena, Italy

    Vincenzo Grecchi

  3. Istituto di Fisica, Università di Bologna, Bologna, Italy

    Vincenzo Grecchi

Authors
  1. Sandro Graffi
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  2. Vincenzo Grecchi
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Additional information

Partially supported by G.N.F.M., C.N.R.

Partially supported by I.N.F.N., Sezione di Bologna.

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Graffi, S., Grecchi, V. Existence and Borel summability of resonances in hydrogen stark effect. Lett Math Phys 2, 335–341 (1978). https://doi.org/10.1007/BF00419624

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  • DOI: https://doi.org/10.1007/BF00419624

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