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BRAID GROUP-RELATED ALGEBRAS, THEIR REPRESENTATIONS AND GENERALIZED HYDROGENLIKE SPECTRA

dc.contributor.authorARIK, M
dc.contributor.authorAYDIN, F
dc.contributor.authorHIZEL, E
dc.contributor.authorKORNFILT, J
dc.contributor.authorYILDIZ, A
dc.date.accessioned2026-06-27T12:59:07Z
dc.date.issued1994
dc.description.abstractRepresentations of the n-braid group where generators are given by matrices whose elements belong to a noncommutative algebra are discussed. Representation of this algebra in a Hilbert space generalizes the Burau representation. Two algebras which are closely related and are physically indistinguishable provided that a particular eigenvalue is fine tuned are discussed. It is shown that the generalized oscillator system given by one of the algebras generates a hydrogenlike spectrum.en
dc.description.urihttps://doi.org/10.1063/1.530506
dc.identifier.doi10.1063/1.530506
dc.identifier.endpage3088
dc.identifier.issn0022-2488
dc.identifier.issue6
dc.identifier.startpage3074
dc.identifier.urihttps://hdl.handle.net/20.500.14981/48569
dc.identifier.volume35
dc.identifier.wosA1994NP30200029
dc.language.isoeng
dc.publisherAMER INST PHYSICS
dc.relation.ispartofJOURNAL OF MATHEMATICAL PHYSICS
dc.subjectPOLYNOMIAL INVARIANT
dc.subjectGAUGE-THEORIES
dc.subjectQUANTUM GROUPS
dc.subjectMODELS
dc.subjectKNOTS
dc.subjectPhysics
dc.titleBRAID GROUP-RELATED ALGEBRAS, THEIR REPRESENTATIONS AND GENERALIZED HYDROGENLIKE SPECTRA
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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