Resonances of Multichannel Systems

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dc.creatorMotovilov, Alexander K.
dc.date2007-02-17
dc.date.accessioned2026-07-07T08:47:35Z
dc.date.available2026-07-07T08:47:35Z
dc.descriptionWe describe structure of the T-matrices, scattering matrices, and Green functions on unphysical energy sheets in multichannel scattering problems with binary channels and in the three-body problem. Based on the explicit representations obtained for the values of T- and S-matrices on the unphysical sheets, we prove that the resonances belonging to an unphysical sheet are just those energies where the correspondingly truncated scattering matrix, taken in the physical sheet, has eigenvalue zero. We show, in addition, that eigenvectors of the truncated scattering matrix associated with its zero eigenvalue are formed of the breakup amplitudes for the respective resonant states.
dc.descriptionBased on a talk presented at the UNISA-JINR Symposium "Models and Methods in Few- and Many-Body Systems" (6-9 February 2007, Skukuza, Kruger National Park, South Africa
dc.identifierhttps://arxiv.org/abs/quant-ph/0702178
dc.identifierhttp://arxiv.org/abs/quant-ph/0702178
dc.identifierModels and Methods in Few- and Many-Body Systems. Proc. of the DST-UNISA-JINR Symposium/Ed.: S.A.Sofianos (UNISA Press, Pretoria 2007), pp. 136--150
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143652
dc.subjectQuantum Physics
dc.subjectMathematical Physics
dc.subjectNuclear Theory
dc.titleResonances of Multichannel Systems
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