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dc.contributor.authorAldaya Valverde, Víctor 
dc.contributor.authorGuerrero García, Julio 
dc.contributor.authorCalixto Molina, Manuel 
dc.date.accessioned2008-10-29T08:14:11Z
dc.date.available2008-10-29T08:14:11Z
dc.date.issued1995-09
dc.identifier.citationALDAYA VALVERDE, Victor, CALIXTO MOLINA, Manuel, GUERRERO GARCÍA, Julio. Algebraic Quantization, Good Operators and Fractional Quantum Numbers . Communications in Mathematical Physics , 178: 399-424,Septiembre 1995. ISSN 0010-3616es
dc.identifier.issn0010-3616
dc.description.abstractThe problems arising when quantizing systems with periodic boundary conditions are analysed, in an algebraic (group-) quantization scheme, and the “failure” of the Ehrenfest theorem is clarified in terms of the already defined notion of good (and bad) operators. The analysis of “constrained” Heisenberg-Weyl groups according to this quantization scheme reveals the possibility for new quantum (fractional) numbers extending those allowed for Chern classes in traditional Geometric Quantization. This study is illustrated with the examples of the free particle on the circumference and the charged particle in a homogeneous magnetic field on the torus, both examples featuring “anomalous” operators, non-equivalent quantization and the latter, fractional quantum numbers. These provide the rationale behind flux quantization in superconducting rings and Fractional Quantum Hall Effect, respectively.es
dc.description.sponsorshipWe wish to thank Mark Gotay for valuable discussions.es
dc.formatapplication/pdf
dc.language.isoenges
dc.publisherSpringer Berlines
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.titleAlgebraic Quantization, Good Operators and Fractional Quantum Numberses
dc.typeinfo:eu-repo/semantics/articlees
dc.subject.otherMatemática Aplicadaes
dc.subjectCuantización algebraicaes
dc.subjectCuántica de números fraccionadoses
dc.identifier.urihttp://hdl.handle.net/10317/522
dc.identifier.uriarXiv:hep-th/9507016v4
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess


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