Enhanced quantization on the circle

TL;DR

This paper extends a quantization scheme to a particle on a circle, showing that the quantum action can be expressed as the classical action plus quantum corrections, thereby broadening the scheme's applicability.

Contribution

It applies an existing quantization scheme to a new setting of a particle on a circle, demonstrating the extension of previous results.

Findings

Quantum action expressed as classical plus 5-corrections

Extension of quantization scheme to circular topology

Demonstrates applicability to new geometric setting

Abstract

We apply the quantization scheme introduced in [arXiv:1204.2870] to a particle on a circle. We find that the quantum action functional restricted to appropriate coherent states can be expressed as the classical action plus $\hbar$-corrections. This result extends the examples presented in the cited paper.