Quantization and Group Representations

Cressman, R.

Canadian journal of mathematics, Tome 29 (1977) no. 6, pp. 1264-1276

Résumé

A quantization of a fixed classical mechanical system is firstly an association between quantum mechanical observables (preferably self-adjoint operators on Hilbert space) and classical mechanical observables (i.e. real-valued functions on phase space). Secondly, a quantization should permit an interpretation of the correspondence principle that ‘classical mechanics is the limit of quantum mechanics as Planck's constant approaches zero'. With these two underlying precepts, Section 2 states the four basic requirements, I to IV, of a quantization along with an additional requirement V that characterizes the subclass of special quantizations.

Détail

DOI : 10.4153/CJM-1977-126-8

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