Abstract
We provide a survey of the Tomita representations of quantum and classical mechanics in a language suited for physical applications, based on a modified bra/ket formalism. The mathematical structure of the abstract representation and its physical interpretation is outlined. The relation between the Dirac formulation of quantum mechanics and the present one is shown. A description is given of the classical limit of quantum mechanics. A set of concrete representations for the quantum case is provided. The formalism is applied to the free particle and the harmonic oscillator. The quantum dynamics as a perturbation on the classical dynamics is briefly considered.
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