Operator interpretation of the resonances generated by ${2}\times {2}$ matrix Hamiltonians
Teoretičeskaâ i matematičeskaâ fizika, Tome 116 (1998) no. 2, pp. 163-181
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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.
@article{TMF_1998_116_2_a0,
author = {R. Mennicken and A. K. Motovilov},
title = {Operator interpretation of the resonances generated by ${2}\times {2}$ matrix {Hamiltonians}},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {163--181},
publisher = {mathdoc},
volume = {116},
number = {2},
year = {1998},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1998_116_2_a0/}
}
TY - JOUR
AU - R. Mennicken
AU - A. K. Motovilov
TI - Operator interpretation of the resonances generated by ${2}\times {2}$ matrix Hamiltonians
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%D 1998
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R. Mennicken; A. K. Motovilov. Operator interpretation of the resonances generated by ${2}\times {2}$ matrix Hamiltonians. Teoretičeskaâ i matematičeskaâ fizika, Tome 116 (1998) no. 2, pp. 163-181. http://geodesic.mathdoc.fr/item/TMF_1998_116_2_a0/