# Operator Interpretation of Resonances Arising in Spectral Problems for 2 x 2 Matrix Hamiltonians

@article{Motovilov1998OperatorIO,
title={Operator Interpretation of Resonances Arising in Spectral Problems for 2 x 2 Matrix Hamiltonians},
author={Alexander K. Motovilov and Reinhard Mennicken},
journal={Operator theory},
year={1998},
volume={108},
pages={315-322}
}
• Published 16 September 1998
• Mathematics
• Operator theory
We consider the analytic continuation of the transfer function for a 2 x 2 matrix Hamiltonian into the unphysical sheets of the energy Riemann surface. We construct non-selfadjoint operators representing operator roots of the transfer function which reproduce certain parts of its spectrum including resonances situated in the unphysical sheets neighboring the physical sheet. On this basis, completeness and basis properties for the root vectors of the transfer function (including those for the…
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