09-90 Nabile Boussaid and Sylvain Golenia

Limiting absorption principle for some long range perturbations of Dirac systems at threshold energies (117K, latex) Jun 8, 09

Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

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.

Files: 09-90.src( 09-90.keywords , LAPDLRv20090605.tex )