Ordering ambiguity versus representation

TL;DR

This paper explores how the ambiguity in ordering during quantization is influenced by the choice of representation, and demonstrates how this understanding can resolve specific systems unambiguously.

Contribution

It reveals the dependence of ordering ambiguity on representation choice and applies this insight to solve particular systems unambiguously.

Findings

Ordering ambiguity varies with representation.

Representation choice can resolve quantization ambiguities.

Implications for complex systems are discussed.

Abstract

In this work we show that the ordering ambiguity on quantization depends on the representation choice. This property is then used to solve unambiguously some particular systems. Finally, we speculate on the consequences for more involved cases.