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On Critical Stability of Three Quantum Charges Interacting Through Delta Potentials

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Abstract.

We consider three one-dimensional quantum, charged and spinless particles interacting through delta potentials. We derive sufficient conditions which guarantee the existence of at least one bound state.

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Authors and Affiliations

  1. Department of Mathematics, Aalborg University, Fredrik Bajers Vej 7G, 9220, Aalborg, Denmark

    H. D. Cornean

  2. Centre de Physique Théorique UMR 6207, Unité Mixte de Recherche du CNRS et des Universités Aix-Marseille I, Aix-Marseille II et de l’Université du Sud Toulon-Var, Laboratoire affilié à la FRUMAM, Luminy Case 907, F-13288, Marseille Cedex 9, France

    P. Duclos & B. Ricaud

Authors
  1. H. D. Cornean
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  2. P. Duclos
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  3. B. Ricaud
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Cornean, H., Duclos, P. & Ricaud, B. On Critical Stability of Three Quantum Charges Interacting Through Delta Potentials. Few-Body Systems 38, 125–131 (2006). https://doi.org/10.1007/s00601-005-0125-z

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  • DOI: https://doi.org/10.1007/s00601-005-0125-z

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