Year: 2021
Author: Huu-Tai Pierre Chau, Bernard Ducomet
Communications in Mathematical Research , Vol. 37 (2021), Iss. 2 : pp. 141–179
Abstract
We study spectral properties of a quantum Hamiltonian with a complex-valued energy-dependent potential related to a model introduced in physics of nuclear reactions [30] and we prove that the principle of limiting absorption holds at any point of a large subset of the essential spectrum. When an additional dissipative or smallness hypothesis is assumed on the potential, we show that the principle of limiting absorption holds at any point of the essential spectrum.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cmr.2020-0040
Communications in Mathematical Research , Vol. 37 (2021), Iss. 2 : pp. 141–179
Published online: 2021-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 39
Keywords: Non-self-adjoint complex potential dissipative limiting absorption principle spectral singularity energy dependent potential.