Communications in Mathematical Physics

, Volume 26, Issue 3, pp 222–236

Coherent states for arbitrary Lie group

  • A. M. Perelomov

DOI: 10.1007/BF01645091

Cite this article as:
Perelomov, A.M. Commun.Math. Phys. (1972) 26: 222. doi:10.1007/BF01645091


The concept of coherent states originally closely related to the nilpotent group of Weyl is generalized to arbitrary Lie group. For the simplest Lie groups the system of coherent states is constructed and its features are investigated.

Copyright information

© Springer-Verlag 1972

Authors and Affiliations

  • A. M. Perelomov
    • 1
  1. 1.Institute for Theoretical and Experimental PhysicsMoscowUSSR

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