Article ID Journal Published Year Pages File Type
4612401 Journal of Differential Equations 2006 17 Pages PDF
Abstract

We present some results on the perturbation of eigenvalues embedded at a threshold for a matrix-valued Hamiltonian with three-dimensional dilation analytic Schrödinger operators as entries and with a small off-diagonal perturbation. The main result describes how a threshold eigenvalue generates resonances (that is, poles of the meromorphic continuation of the perturbed Hamiltonian).

Related Topics
Physical Sciences and Engineering Mathematics Analysis