Borel summability for a nonpolynomial potential |
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| Authors: | G. Auberson |
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| Affiliation: | (1) Département de Physique Mathématique, U.S.T.L., F-34060 Montpellier Cedex, France |
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| Abstract: | We consider the energy levels of a one-dimensional quantum system in the rational potential 1/2x2±gx4/(1+ gx2). Their perturbation expansions ing are shown to be Borel summable. The proof is flexible enough to allow simple extensions to other nonpolynomial interactions.Physique Mathématique et Théorique, Equipe de Recherche associée au CNRS |
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