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Thresholds properties for matrix-valued Schr\"{o}dinger operators, II. Resonances

journal contribution
posted on 2023-06-08, 15:51 authored by Michael MelgaardMichael Melgaard
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).

History

Publication status

  • Published

Journal

Journal of Differential Equations

ISSN

0022-0396

Publisher

Elsevier

Issue

2

Volume

226

Page range

687-703

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2013-09-19

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