# Resonance free regions and non-Hermitian spectral optimization for Schrödinger point interactions

@article{Albeverio2017ResonanceFR, title={Resonance free regions and non-Hermitian spectral optimization for Schr{\"o}dinger point interactions}, author={Sergio Albeverio and Illya M. Karabash}, journal={Operators and Matrices}, year={2017}, pages={1097-1117} }

Resonances of Schrodinger Hamiltonians with point interactions are considered. The main object under the study is the resonance free region under the assumption that the centers, where the point interactions are located, are known and the associated 'strength' parameters are unknown and allowed to bear additional dissipative effects. To this end we consider the boundary of the resonance free region as a Pareto optimal frontier and study the corresponding optimization problem for resonances. It…

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