PHASE STATES AND COHERENT STATES FOR GENERALIZED WEYL-HEISENBERG ALGEBRAS

Maurice Robert Kibler; Mohammed Daoud

PHASE STATES AND COHERENT STATES FOR GENERALIZED WEYL-HEISENBERG ALGEBRAS

Maurice Robert Kibler ¹ Mohammed Daoud ¹

1 IPNL - Institut de Physique Nucléaire de Lyon

Abstract : 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.

Keywords : phase operators phase states vector phase states coherent states mutually unbiased bases

Document type :

Conference papers

Chengming Bai, Jean-Pierre Gazeau and Mo-Lin Ge. The XXIXth International Colloquium on Group-Theoretical Methods in Physics, Aug 2012, Tianjin, China. World Scientific, Nankai Series in Pure, Applied Mathematics and Theoretical Physics, 2012

Domain :

Physics [physics] / Quantum Physics [quant-ph]

Mathematics [math] / Mathematical Physics [math-ph]

http://hal.in2p3.fr/in2p3-00741945
Contributor : Maurice Robert Kibler <>
Submitted on : Monday, October 15, 2012 - 3:27:07 PM
Last modification on : Monday, October 15, 2012 - 3:29:22 PM
Document(s) archivé(s) le : Wednesday, January 16, 2013 - 3:39:14 AM

HAL_proc_Kibler_Daoud.pdf

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PHASE STATES AND COHERENT STATES FOR GENERALIZED WEYL-HEISENBERG ALGEBRAS

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