On the algebra of quantum observables for a certain gauge model

TL;DR

This paper demonstrates that the algebra of quantum observables in a specific gauge model can be generated by unbounded elements derived through geometric quantization of classical invariant polynomials.

Contribution

It introduces a method to generate the algebra of observables using unbounded elements from classical invariants via geometric quantization.

Findings

The algebra is generated by unbounded elements in the sense of Woronowicz.

Generators are constructed from classical invariant polynomials.

The approach links classical invariants with quantum observables.

Abstract

We prove that the algebra of observables of a certain gauge model is generated by unbounded elements in the sense of Woronowicz. The generators are constructed from the classical generators of invariant polynomials by means of geometric quantization.