Some Aspects of Normal Quantisation

  • Keith C. Hannabuss

    Balliol College, Oxford, UK
  • Mark A. Hennings

    Rugby School, UK


A generalisation of the process of normal quantisation is studied which deals with a physical system whose phase space is given by a coadjoint orbit of a locally compact Lie group G. Under certain conditions, an algebra structure—implemented by a Fronsdal *-product—is assigned to the family of physical observables in such a way that the normal quantisation provides a representation of the algebra. This method, then, provides a useful means of determining a physically sensible Fronsdal *-product for a given system.

Cite this article

Keith C. Hannabuss, Mark A. Hennings, Some Aspects of Normal Quantisation. Publ. Res. Inst. Math. Sci. 21 (1985), no. 6, pp. 1337–1352

DOI 10.2977/PRIMS/1195178520