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Deformed exterior algebra, quons and their coherent states

We review the notion of the deformation of the exterior wedge product. This allows us to construct the deformation of the algebra of exterior forms over a vector space and also over an arbitrary manifold. We relate this approach to the generalized statistics and we study quons, as a particular case...

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Detalles Bibliográficos
Autores principales: El-Baz, M, Hassouni, Y
Lenguaje:eng
Publicado: 2002
Materias:
Acceso en línea:http://cds.cern.ch/record/748096
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author El-Baz, M
Hassouni, Y
author_facet El-Baz, M
Hassouni, Y
author_sort El-Baz, M
collection CERN
description We review the notion of the deformation of the exterior wedge product. This allows us to construct the deformation of the algebra of exterior forms over a vector space and also over an arbitrary manifold. We relate this approach to the generalized statistics and we study quons, as a particular case of these generalized statistics. We also give their statistical properties. A large part of the work is devoted to the problem of constructing coherent states for the deformed oscillators. We give a review of all the approaches existing in the literature concerning this point and enforce it with many examples.
id cern-748096
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2002
record_format invenio
spelling cern-7480962019-09-30T06:29:59Zhttp://cds.cern.ch/record/748096engEl-Baz, MHassouni, YDeformed exterior algebra, quons and their coherent statesGeneral Theoretical PhysicsWe review the notion of the deformation of the exterior wedge product. This allows us to construct the deformation of the algebra of exterior forms over a vector space and also over an arbitrary manifold. We relate this approach to the generalized statistics and we study quons, as a particular case of these generalized statistics. We also give their statistical properties. A large part of the work is devoted to the problem of constructing coherent states for the deformed oscillators. We give a review of all the approaches existing in the literature concerning this point and enforce it with many examples.IC-2002-106oai:cds.cern.ch:7480962002
spellingShingle General Theoretical Physics
El-Baz, M
Hassouni, Y
Deformed exterior algebra, quons and their coherent states
title Deformed exterior algebra, quons and their coherent states
title_full Deformed exterior algebra, quons and their coherent states
title_fullStr Deformed exterior algebra, quons and their coherent states
title_full_unstemmed Deformed exterior algebra, quons and their coherent states
title_short Deformed exterior algebra, quons and their coherent states
title_sort deformed exterior algebra, quons and their coherent states
topic General Theoretical Physics
url http://cds.cern.ch/record/748096
work_keys_str_mv AT elbazm deformedexterioralgebraquonsandtheircoherentstates
AT hassouniy deformedexterioralgebraquonsandtheircoherentstates