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| Titre : |
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PHASE STATES AND COHERENT STATES FOR GENERALIZED WEYL-HEISENBERG ALGEBRAS |
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| Auteur : |
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Maurice Robert Kibler ( ,  )1, Mohammed Daoud ()1 |
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| Laboratoire : |
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| Résumé : |
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This paper is concerned with the construction of phase operators, phase states, vector phase states, and coherent states for a generalized Weyl-Heisenberg algebra. This polynomial algebra (that depends on real parameters) is briefly described. The various states are defined on a finite- or infinite-dimensional space depending on the parameters. This report constitutes an introduction to three papers published by the authors in J. Phys. A [43 (2010) 115303 and 45 (2012) 244036] and J. Math. Phys. [52 (2011) 082101]. See these three papers for the relevant references. |
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| Type de publication : |
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Conférences invitées |
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Date de publication
ou d'écriture : |
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2012 |
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| Date de la présentation : |
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21/08/2012 |
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| Volume : |
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Nankai Series in Pure, Applied Mathematics and Theoretical Physics |
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| Editeurs scientifiques : |
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Chengming Bai, Jean-Pierre Gazeau and Mo-Lin Ge |
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| Editeur : |
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World Scientific |
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| Nom du colloque : |
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The XXIXth International Colloquium on Group-Theoretical Methods in Physics |
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| Ville du colloque : |
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Tianjin |
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| Pays du colloque : |
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Chine |
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| Date du colloque (début) : |
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20/08/2012 |
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| Date du colloque (fin) : |
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26/08/2012 |
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| Speaker : |
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M.R. Kibler |
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| Classification PACS : |
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03.65.Fd, 03.65.Ta, 03.65.Ud |
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| Commentaire : |
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6 pages |
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| Mot(s)-clé(s) : |
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phase operators – phase states – vector phase states – coherent states – mutually unbiased bases |
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