Limiting absorption principle for some long range perturbations of Dirac systems at threshold energies
Analysis of PDEs
2015-05-13 v1 Mathematical Physics
math.MP
Spectral Theory
Abstract
We establish a limiting absorption principle for some long range perturbations of the Dirac systems at threshold energies. We cover multi-center interactions with small coupling constants. The analysis is reduced to study a family of non-self-adjoint operators. The technique is based on a positive commutator theory for non self-adjoint operators, which we develop in appendix. We also discuss some applications to the dispersive Helmholzt model in the quantum regime.
Keywords
Cite
@article{arxiv.0906.1495,
title = {Limiting absorption principle for some long range perturbations of Dirac systems at threshold energies},
author = {Nabile Boussaid and Sylvain Golénia},
journal= {arXiv preprint arXiv:0906.1495},
year = {2015}
}