Enhanced Quantization: The particle on the circle

TL;DR

This paper discusses enhanced quantization as a method to improve canonical quantization, specifically applying it to the case of a particle constrained to move on a circular path.

Contribution

It demonstrates how enhanced quantization can be effectively applied to a particle on a circle, addressing issues in traditional canonical quantization methods.

Findings

Enhanced quantization provides a better framework for quantizing particles on curved spaces.

Application to a particle on a circle illustrates the advantages over standard methods.

The approach resolves certain difficulties encountered in canonical quantization.

Abstract

Enhanced quantization is an improved program for overcoming difficulties which may arise during an ordinary canonical quantization procedure. We review here how this program applies for a particle on circle.