On the construction of generalized su(1, 1) coherent states

K. Berrada; M. El Baz; Y. Hassouni

doi:10.1016/S0034-4877(11)60025-6

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On the construction of generalized su(1, 1) coherent states

Journal article

Peer reviewed

On the construction of generalized su(1, 1) coherent states

K. Berrada, M. El Baz and Y. Hassouni

Reports on mathematical physics, Vol.68(1), pp.23-35

2011

DOI: https://doi.org/10.1016/S0034-4877(11)60025-6

Abstract

generalized su(1, 1) algebra

Mandel's parameter

quantum entanglement

quantum groups

SU(1, 1) coherent states

A general approach for building coherent states associated to generalized su(1, 1) algebra is developed. The problem of completeness of these coherent states is studied for some particular cases, and the physical properties of these states are investigated through the evaluation of Mandel's parameter using an alteration of the Holstein–Primakoff realization of the su(1, 1) algebra. It is shown that these states exhibit sub-Poissonian, Poissonian, or super-Poissonian statistics.

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Title: On the construction of generalized su(1, 1) coherent states
Creators - without role: K. Berrada - Laboratoire de Physique Théorique
M. El Baz - Laboratoire de Physique Théorique
Y. Hassouni - Laboratoire de Physique Théorique
Publication Details: Reports on mathematical physics, Vol.68(1), pp.23-35
Publisher: Elsevier Ltd
Identifiers: 9915920108331
Academic Unit: Imam Mohammad Ibn Saud Islamic University (IMSIU)
Language: English
Resource Type: Journal article