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Borel summability for a nonpolynomial potential

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Abstract

We consider the energy levels of a one-dimensional quantum system in the rational potential 1/2x 2±gx 4/(1+αgx 2). Their perturbation expansions ing are shown to be Borel summable. The proof is flexible enough to allow simple extensions to other nonpolynomial interactions.

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Authors and Affiliations

  1. Département de Physique Mathématique, U.S.T.L., F-34060, Montpellier Cedex, France

    G. Auberson

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  1. G. Auberson
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Communicated by J. Ginibre

Physique Mathématique et Théorique, Equipe de Recherche associée au CNRS

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Auberson, G. Borel summability for a nonpolynomial potential. Commun.Math. Phys. 84, 531–546 (1982). https://doi.org/10.1007/BF01209633

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  • DOI: https://doi.org/10.1007/BF01209633

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