This article is cited in 5 papers

Operator interpretation of the resonances generated by ${2}\times {2}$ matrix Hamiltonians

R. Mennicken^a, A. K. Motovilov<sup>b

a</sup> Universität Regensburg
^b Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics

Abstract: An analytic continuation of the transfer function for a $2\times 2$ 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.

Received: 01.01.1998

DOI: 10.4213/tmf895

 English version: Theoretical and Mathematical Physics, 1998, 116:2, 867–880

Bibliographic databases:

• 
• 
• 
•