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Centre for Mathematical Physics and Stochastics
Department of Mathematical Sciences, University of Aarhus

Funded by The Danish National Research Foundation

MPS-RR 2000-6
February 2000

Perturbation of eigenvalues embedded at a threshold


Arne Jensen

Michael Melgaard


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.

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This paper has now been published in Proc. Roy. Soc. Edinburgh Sect. A 132, 163-179 (2002)