Exceptional points in multichannel resonance quantization |
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Authors: | R Lefebvre and O Atabek |
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Institution: | 1.Laboratoire de Photophysique Moléculaire du CNRS, Université Paris-Sud,Orsay,France;2.U.F.R. de Physique Fondamentale et Appliquée, Université Pierre et Marie Curie,Paris,France |
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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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Keywords: | |
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