Energy-dependent Hamiltonian in a nuclear optical model
Date
2021-05-04
Authors
Huu-Tai, Pierre Chau
Ducomet, Bernard
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
nonselfadjoint, complex potential, energy dependent potential, s-wave
Citation
Huu-Tai, P. C., & Ducomet, B. (2021). Energy-dependent Hamiltonian in a nuclear optical model. <i>Electronic Journal of Differential Equations, 2021</i>(36), pp. 1-22.
Rights
Attribution 4.0 International