Abstract
A method for getting exclusion bounds on eigenvalues of nonnormal operators by using trial (left-)inverse operators is established. This method is extended to Siedentop's version of Müller's variational principle which changes the investigation of the operator into an investigation of the affiliated Birman-Schwinger-Rollnik kernel. The method is applied to the calculation of resonances by complex scaling and yields exact exclusion bounds for the resonances. Rough exclusion bounds for resonances in the case of potentials with compact support and dilation analytic potentials are pointed out.
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Sölter, GU. (1979). Generalization of Müller's variational principle. In: Brändas, E., Elander, N. (eds) Resonances The Unifying Route Towards the Formulation of Dynamical Processes Foundations and Applications in Nuclear, Atomic and Molecular Physics. Lecture Notes in Physics, vol 325. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-50994-1_36
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DOI: https://doi.org/10.1007/3-540-50994-1_36
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