Fractional Dirac bracket and quantization for constrained systems

Geometry of the Dirac Quantization of Constrained Systems

Geometric properties of operators of quantum Dirac constraints and physical observables are studied in semiclassical theory of generic constrained systems. The invariance transformations of the classical theory – contact canonical treansformations and arbitrary changes of constraint basis – are promoted to the quantum domain as unitary equivalence transformations. The operators of physical obse...

peirels-bracket quantization of parabosonic and parafermionic systems

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Quantization of Constrained Systems

We study special systems with infinitely many degrees of freedom with regard to dynamical evolution and fulfillment of constraint conditions. Attention is focused on establishing a meaningful functional framework, and for that purpose, coherent states and reproducing kernel techniques are heavily exploited. Several examples are given.

0 Quantization of Constrained Systems ∗

The present article is primarily a review of the projection-operator approach to quantize systems with constraints. We study the quantization of systems with general firstand second-class constraints from the point of view of coherent-state, phase-space path integration, and show that all such cases may be treated, within the original classical phase space, by using suitable path-integral measu...

Incomplete Dirac reduction of constrained Hamiltonian systems