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Exceptional points in multichannel resonance quantization

  • Molecular Physics and Chemical Physics
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Abstract

We derive from the quantization condition of a multichannel resonance problem the behaviour of resonance energies close to an exceptional point (EP) where two resonance energies coalesce. The formalism is applied to a one-dimensional model of the molecular ion H2 +. Although the approach does not use a matrix diagonalization procedure, all known results about exceptional points are present, including the transfer from one resonance to another when following a loop encircling the EP. We study how the resonance wave functions behave along loops around the EP, as well as the associated geometric phases.

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Authors and Affiliations

  1. Laboratoire de Photophysique Moléculaire du CNRS, Université Paris-Sud, Bât. 210, Campus d’Orsay, 91405, Orsay, France

    R. Lefebvre & O. Atabek

  2. U.F.R. de Physique Fondamentale et Appliquée, Université Pierre et Marie Curie, 75321, Paris, France

    R. Lefebvre

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  1. R. Lefebvre
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  2. O. Atabek
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Correspondence to O. Atabek.

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Lefebvre, R., Atabek, O. Exceptional points in multichannel resonance quantization. Eur. Phys. J. D 56, 317–324 (2010). https://doi.org/10.1140/epjd/e2009-00315-2

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  • DOI: https://doi.org/10.1140/epjd/e2009-00315-2

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