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Non-linear Stark effect and molecular localization

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Abstract

We consider a non-linear Stark effect as a model for localization and symmetry breaking of a molecule in a gas. By a comparison method with respect to the linear Stark effect, we prove the existence of level bifurcation and symmetry breaking at a critical value of the gas pressure exponentially small for large nuclear masses. Extending the Davies results, we confirm the predictions of Claverie-Jona Lasinio for pyramidal molecules as the ammonia one.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Bologna, I-40127, Bologna, Italy

    Vincenzo Grecchi

  2. Département de Mathématiques (CNRS, URA 742), Université de Paris-Nord, Av. J. B. Clément, F-93430, Villetaneuse, France

    André Martinez

Authors
  1. Vincenzo Grecchi
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  2. André Martinez
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Communicated by B. Simon

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Grecchi, V., Martinez, A. Non-linear Stark effect and molecular localization. Commun.Math. Phys. 166, 533–548 (1995). https://doi.org/10.1007/BF02099886

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  • DOI: https://doi.org/10.1007/BF02099886

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