Pierre Chau Huu-Tai, Bernard Ducomet
Abstract:
We study the spectral properties of a 1D model of optical potential introduced by
Morillon and Romain [21] in the context of nuclear reactions.
We can localize the discrete spectrum and estimate the number of eigenvalues.
We also study the continuous spectrum with possibly embedded spectral singularities
and give an expansion formula for an arbitrary function on a set of generalized
eigenfunctions. We briefly study the resonances of a related model.
Submitted December 17, 2020. Published May 4, 2021.
Math Subject Classifications: 35J10, 35P15, 47A55.
Key Words: Nonselfadjoint; complex potential; energy dependent potential; S-wave.
DOI: https://doi.org/10.58997/ejde.2021.36
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| Pierre Chau Huu-Tai CEA, DAM, DIF, F-91297 Arpajon France, and Université Paris-Saclay, CEA Laboratoire Matière en Conditions Extrêmes 91680 Bruyères le Chatel, France email: huu-tai.chau@cea.fr |
| Bernard Ducomet Université Paris-Est Créteil, LAMA (UMR 805) CNRS, 61 Avenue du Général de Gaulle F-94010 Créteil, France email bernard.ducomet@u-pec.fr |
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