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Phys. Rev. A 71, 022104 (2005) [7 pages]

Construction of coherent states for physical algebraic systems

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Y. Hassouni*
Laboratoire de Physique Théorique, Faculté des Sciences, Université Mohammed V-Agdal, Avenue Ibn Batouta, B.P.1014, Agdal Rabat, Morocco

E. M. F. Curado† and M. A. Rego-Monteiro‡
Centro Brasileiro de Pesquisas Físicas, Rua Xavier Sigaud 150, 22290-180, Rio de Janeiro, RJ, Brazil

Received 20 August 2004; published 11 February 2005

We construct a general state which is an eigenvector of the annihilation operator of the generalized Heisenberg algebra. We show, for several systems characterized by different energy spectra, that this general state satisfies the minimal set of conditions required to obtain Klauder’s minimal coherent states.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.71.022104
DOI:
10.1103/PhysRevA.71.022104
PACS:
03.65.Fd

*Electronic address: y-hassou@fsr.ac.ma and yassine.ictp.trieste.it

†Electronic address: evaldo@cbpf.br

‡Electronic address: regomont@cbpf.br

 
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