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Perturbation of eigenvalues embedded at a threshold

Published online by Cambridge University Press:  12 July 2007

A. Jensen  and
M. Melgaard
A. Jensen
Affiliation:
Department of Mathematical Sciences and MaPhySto, Centre for Mathematical Physics and Stochastics, Aalborg University, Fredrik Bajers Vej 7G, DK-9220 Aalborg Ø, Denmark ([email protected])
M. Melgaard
Affiliation:
School of Mathematics, Cardiff University, Mathematics Institute, 23 Senghennydd Road, Cardiff CF24 4AG, UK ([email protected])
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Abstract

Results are obtained on perturbation of eigenvalues and half-bound states (zero-resonances) embedded at a threshold. The results are obtained in a two-channel framework for small off-diagonal perturbations. The results are based on given asymptotic expansions of the component Hamiltonians.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 132 , Issue 1 , February 2002 , pp. 163 - 179
Copyright
Copyright © Royal Society of Edinburgh 2002

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