Geometry of generalized coherent states

  • H. Bacry
  • A. Grossmann
  • J. Zak
Coherent States
Part of the Lecture Notes in Physics book series (LNP, volume 50)


Various attempts have been made to generalize the concept of coherent states (c.s.). One of them, due to Perelomov, seems to be very promising but not restrictive enough. The Perelomov c.s. are briefly reviewed. One shows how his definition gives rise to Radcliffe's c.s. The relationship between the usual and Radcliffe's c.s. can be investigated either from group contraction point of view (Arecchi et al.) or from a physical point of view (with the aid of the Poincaré sphere of elliptic polarizations of electromagnetic plane waves). The question of finding complete subsets of c.s. is revisited and an attempt is made to restrict the Perelomov definition.


Coherent State Weyl Group Symplectic Manifold Electromagnetic Plane Wave Bloch Sphere 
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Copyright information

© Springer-Verlag 1976

Authors and Affiliations

  • H. Bacry
    • 1
    • 2
  • A. Grossmann
    • 3
  • J. Zak
    • 4
  1. 1.UER Experimentale et Pluridisciplinaire de Marseille LuminyFrance
  2. 2.Centre de Physique Theorique - C.N.R.S.MARSEILLE CEDEX 2France
  3. 3.Centre de Physique TheoriqueCNRS, Marseille
  4. 4.Physics Dept.Technion, Haïfa

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