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Communications in Mathematical Physics

, Volume 20, Issue 1, pp 9–25 | Cite as

On representations of the canonical commutation relations

  • Huzihiro Araki
Article

Abstract

In the measure space construction of a representation of the canonical commutation relations, the strong continuity of any one parameter subgroup is proved.

All multipliers for the separable case are expressed in a constructive manner and an irreducibility criterion for a subset of multipliers is obtained.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Quantum Computing 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1971

Authors and Affiliations

  • Huzihiro Araki
    • 1
    • 2
  1. 1.Queen's UniversityKingstonCanada
  2. 2.Research Institute for Mathematical SciencesKyoto UniversityKyotoJapan

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