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Borel summability of the unequal double well

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Abstract

Unlike the ε=0 case, the perturbation series of the unequal double wellp 2+x 2+2gx 3+g 2(1+ε)x 4 are Borel summable to the eigenvalues for any ε>0.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Bologna, I-40126, Bologna, Italy

    S. Graffi

  2. Istituto di Matematica, Università di Modena, I-41100, Modena, Italy

    V. Grecchi

Authors
  1. S. Graffi
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  2. V. Grecchi
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Communicated by B. Simon

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Graffi, S., Grecchi, V. Borel summability of the unequal double well. Commun.Math. Phys. 92, 397–403 (1984). https://doi.org/10.1007/BF01210728

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  • DOI: https://doi.org/10.1007/BF01210728

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