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PHASE STATES AND COHERENT STATES FOR GENERALIZED WEYL-HEISENBERG ALGEBRAS
Kibler M. R., Daoud M.
The XXIXth International Colloquium on Group-Theoretical Methods in Physics, Tianjin : Chine (2012) - http://hal.in2p3.fr/in2p3-00741945
Physique/Physique Quantique
Mathématiques/Physique mathématique
PHASE STATES AND COHERENT STATES FOR GENERALIZED WEYL-HEISENBERG ALGEBRAS
Maurice Robert Kibler (, http://lyoinfo.in2p3.fr/theorie/membres/kibler.html.fr)1, Mohammed Daoud ()1
1 :  IPNL - Institut de Physique Nucléaire de Lyon
http://www.ipnl.in2p3.fr/
CNRS : UMR5822 – IN2P3 – Université Claude Bernard - Lyon I (UCBL)
France
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.

Conférences invitées
2012
21/08/2012
Nankai Series in Pure, Applied Mathematics and Theoretical Physics
Chengming Bai, Jean-Pierre Gazeau and Mo-Lin Ge
World Scientific

The XXIXth International Colloquium on Group-Theoretical Methods in Physics
Tianjin
Chine
20/08/2012
26/08/2012
M.R. Kibler

03.65.Fd, 03.65.Ta, 03.65.Ud
6 pages
phase operators – phase states – vector phase states – coherent states – mutually unbiased bases
Liste des fichiers attachés à ce document : 
TEX
HAL_proc_Kibler_Daoud.tex(15.2 KB)
ws-procs9x6.cls(38 KB)
PDF
HAL_proc_Kibler_Daoud.pdf(115.9 KB)
PS
HAL_proc_Kibler_Daoud.ps(470.2 KB)