Communications in Mathematical Physics

, Volume 4, Issue 2, pp 92–122

Remarks on boson commutation rules

  • C. Itzykson

DOI: 10.1007/BF01645755

Cite this article as:
Itzykson, C. Commun.Math. Phys. (1967) 4: 92. doi:10.1007/BF01645755


A group theoretical derivation is given of Bargmann's representation of the boson commutation rules in an Hilbert space of analytic functions. Several interesting problems arise in the study of the global representation of the canonical groupSp (2n, R). As a by-product we recover Laguerre-polynomials as spherical functions on the nilpotent Weyl group.

Copyright information

© Springer-Verlag 1967

Authors and Affiliations

  • C. Itzykson
    • 1
  1. 1.Service de Physique ThéoriqueCentre d'Etudes Nucléaires de Saclay91 Gif-sur-Yvette

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