Construction of coherent states for physical algebraic systems

Y. Hassouni, E. M. F. Curado, and M. A. Rego-Monteiro
Phys. Rev. A 71, 022104 – Published 11 February 2005

Abstract

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.

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  • Received 20 August 2004

DOI:https://doi.org/10.1103/PhysRevA.71.022104

©2005 American Physical Society

Authors & Affiliations

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

  • *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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Issue

Vol. 71, Iss. 2 — February 2005

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