TY - JOUR
T1 - Spectral Properties of an Energy-Dependent Hamiltonian
AU - Pierre Chau , Huu-Tai
AU - Ducomet , Bernard
JO - Communications in Mathematical Research 
VL - 2
SP - 141
EP - 179
PY - 2021
DA - 2021/04
SN - 37
DO - http://doi.org/10.4208/cmr.2020-0040
UR - https://global-sci.org/intro/article_detail/cmr/18736.html
KW - Non-self-adjoint, complex potential, dissipative, limiting absorption principle,
spectral singularity, energy dependent potential.
AB - <p style="text-align: justify;">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.</p>