Operator interpretation of the resonances generated by 2 x 2 matrix Hamiltonians

Mennicken, Reinhard and Motovilov, A. K. (1998) Operator interpretation of the resonances generated by 2 x 2 matrix Hamiltonians. THEORETICAL AND MATHEMATICAL PHYSICS, 116 (2). pp. 867-880. ISSN 0040-5779, 1573-9333

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Abstract

An analytic continuation of the transfer function for a 2 x 2 matrix Hamiltonian to unphysical sheets of the Riemann energy surface is considered. Nonselfadjoint operators are constructed such that their spectra reproduce certain parts of the transfer-function spectrum including resonances on the unphysical sheets nearest to the physical one. The basis property and completeness of the systems of transfer-function root vectors, which include resonance vectors, are established.

Item Type: Article
Uncontrolled Keywords: ENERGY; SCATTERING; POTENTIALS; RESOLVENT; MODEL
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 16 Feb 2023 10:53
Last Modified: 16 Feb 2023 10:53
URI: https://pred.uni-regensburg.de/id/eprint/49653

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