Electronic Journal of Differential Equations,
Vol. 2021 (2021), No. 36, pp. 1-22.

Title: Energy-dependent Hamiltonian in a nuclear optical model
       
Authors: Pierre Chau Huu-Tai (Univ. Paris-Est Creteil, France)
         Bernard Ducomet     (Univ. Paris-Est Creteil, France)

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 04, 2021.
Math Subject Classifications: 35J10, 35P15, 47A55.
Key Words: Nonselfadjoint; complex potential; energy dependent potential; S-wave.