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Thresholds properties for matrix-valued Schrodinger operators, II. Resonances
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics. (Analys)
2006 (English)In: Journal of Differential Equations, ISSN 0022-0396, E-ISSN 1090-2732, Vol. 226, no 2, 687-703 p.Article in journal (Refereed) Published
Abstract [en]

We present some results on the perturbation of eigenvalues embedded at a threshold for a matrix-valued Hamiltonian with three-dimensional dilation analytic Schrodinger 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).

Place, publisher, year, edition, pages
2006. Vol. 226, no 2, 687-703 p.
National Category
Mathematics
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URN: urn:nbn:se:uu:diva-22456DOI: 10.1016/j.jde.2005.10.021ISI: 000238695700011OAI: oai:DiVA.org:uu-22456DiVA: diva2:50229
Available from: 2007-01-17 Created: 2007-01-17 Last updated: 2017-12-07Bibliographically approved

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Melgaard, Michael

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