New algebraic approach to scattering problems

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dc.contributor.authorKerimov, GA
dc.date.accessioned2024-06-12T11:19:00Z
dc.date.available2024-06-12T11:19:00Z
dc.date.issued1998
dc.departmentTrakya Üniversitesien_US
dc.description.abstractQuantum scattering systems described by Hamiltonians which are constructed from the Casimir operators of certain noncompact groups G are considered. We obtain the following result: If U-chi and C(<(chi)over bar>) are the Weyl-equivalent representations of the symmetry group G of the dynamical system, the corresponding S matrices are constrained to satisfy SUchi(g) = U(<(chi)over bar>)(g)S, for all g is an element of G. This relation enables one to derive S. As applications, the S matrices corresponding to the dynamical groups SO0(p,q) are derived.en_US
dc.identifier.doi10.1103/PhysRevLett.80.2976
dc.identifier.endpage2979en_US
dc.identifier.issn0031-9007
dc.identifier.issue14en_US
dc.identifier.scopus2-s2.0-0347291328en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage2976en_US
dc.identifier.urihttps://doi.org/10.1103/PhysRevLett.80.2976
dc.identifier.urihttps://hdl.handle.net/20.500.14551/25049
dc.identifier.volume80en_US
dc.identifier.wosWOS:000072960500003en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherAmerican Physical Socen_US
dc.relation.ispartofPhysical Review Lettersen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectHeavy-Ion Reactionsen_US
dc.subjectIntertwining-Operatorsen_US
dc.subjectSemisimple Groupsen_US
dc.subjectLie-Algebrasen_US
dc.subjectPotentialsen_US
dc.titleNew algebraic approach to scattering problemsen_US
dc.typeArticleen_US

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