Threshold properties of matrix-valued Schrödinger operators, II. Resonances |
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Authors: | Michael Melgaard |
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Institution: | Department of Mathematics, Uppsala University, Polacksbacken, S-751 06 Uppsala, Sweden |
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Abstract: | 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). |
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Keywords: | Matrix-valued Schrö dinger operators Thresholds Embedded eigenvalues Resonances Resolvent expansions |
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