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Article type: Research Article
Authors: Klein, M. | Rama, J. | Wüst, R.
Affiliations: Universität Potsdam, Institut für Mathematik, D-14415 Potsdam, Germany | Technische Universität Berlin, Institut für Mathematik, D-10623 Berlin, Germany
Abstract: Let H0 be self-adjoint with E0 a possibly degenerate eigenvalue embedded in the continuous spectrum σc(H0) and ψ0 a normalized eigenfunction. For a certain class of perturbations W and H=H0+W we investigate the asymptotics of the (naive) resonance state e−itHψ0 in the limit W→0. This amplifies previous results of Merkli and Sigal.
Journal: Asymptotic Analysis, vol. 51, no. 1, pp. 1-16, 2007
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