Energy-dependent Hamiltonian in a nuclear optical model
| dc.contributor.author | Huu-Tai, Pierre Chau | |
| dc.contributor.author | Ducomet, Bernard | |
| dc.date.accessioned | 2021-08-26T13:25:23Z | |
| dc.date.available | 2021-08-26T13:25:23Z | |
| dc.date.issued | 2021-05-04 | |
| dc.description.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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 22 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.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. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14446 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2021, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | nonselfadjoint | |
| dc.subject | complex potential | |
| dc.subject | energy dependent potential | |
| dc.subject | s-wave | |
| dc.title | Energy-dependent Hamiltonian in a nuclear optical model | |
| dc.type | Article |