Abstract
Given an operator H l for which a limiting absorption principle holds, we study operators H 2 which are produced by perturbing H l in the sense that the difference between some powers of the resolvents is compact. We show that (except for possibly a discrete set of eigenvalues) a limiting absorption principle holds for H 2.
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Renger, W. (1999). Stability of Limiting Absorption Principle under Singular Perturbations. In: Dittrich, J., Exner, P., Tater, M. (eds) Mathematical Results in Quantum Mechanics. Operator Theory Advances and Applications, vol 108. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8745-8_34
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DOI: https://doi.org/10.1007/978-3-0348-8745-8_34
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Online ISBN: 978-3-0348-8745-8
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