Spin Connections and Classification of Inequivalent Quantizations

TL;DR

This paper explores an extension of the quantization method using induced representations of the canonical group, aiming to classify inequivalent quantizations in quantum mechanics.

Contribution

It introduces a novel extension of the quantization method based on induced representations to classify inequivalent quantizations.

Findings

Identifies new classes of inequivalent quantizations

Provides a framework for systematic classification

Enhances understanding of quantization ambiguities

Abstract

We discuss an extension of the quantization method based on the induced representation of the canonical group.