Melgaard, Michael (2006) Thresholds properties for matrix-valued Schr\"{o}dinger operators, II. Resonances. Journal of Differential Equations, 226 (2). pp. 687-703. ISSN 0022-0396

Full text not available from this repository.

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).

Item Type:	Article
Keywords:	Matrix-valued Schrödinger operators; Thresholds; Embedded eigenvalues; Resonances; Resolvent expansions
Schools and Departments:	School of Mathematical and Physical Sciences > Mathematics
Subjects:	Q Science > QA Mathematics > QA0299 Analysis. Including analytical methods connected with physical problems
Depositing User:	Michael Melgaard
Date Deposited:	19 Sep 2013 10:48
Last Modified:	19 Sep 2013 10:48
URI:	http://srodev.sussex.ac.uk/id/eprint/46379

📧 Request an update