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math-phSep 18, 2004
5
citations (OpenAlex)
authors
  • M. Daoud
institutions
  • Max Planck Institute for the Physics of Complex Systems
  • Max Planck Society
arXiv abstractPDF
paper

Generalized intelligent states of the su(N) algebra

arXiv:math-ph/0409043 · doi:10.1016/j.physleta.2004.07.016

Abstract

Schr\" odinger-Robertson uncertainty relation is minimized for the quadrature components of Weyl generators of the algebra su(N). This is done by determining explicit Fock-Bargamann representation of the su(N) coherent states and the differential realizations of the elements of su(N). New classes of coherent and squeezed states are explicitly derived.

References in corpus (9)

  • Multidimensional Hermite polynomials and photon distribution for polymode mixed light
  • Nonclassical interferometry with intelligent light
  • Analytic representations based on SU(1,1) coherent states and their applications
  • SU(2) and SU(1,1) algebra eigenstates: A unified analytic approach to coherent and intelligent states
  • Robertson Intelligent States
  • Generalized Intelligent States for an Arbitrary Quantum System
  • Generalized Intelligent States for Nonlinear Oscillators
  • Robertson-Schrödinger intelligent states for two-body Calogero model
  • Probability Distributions and Coherent States of Br​, Cr​ and Dr​ Algebras

Cited by in corpus (2)

  • Some remarks on the coherent-state variational approach to nonlinear boson models
  • Quantum statistical properties of some new classes of intelligent states associated with special quantum systems
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