Some Aspects of Normal Quantisation

Abstract

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.