Negative Probability and Uncertainty Relations

TL;DR

This paper derives all uncertainty relations using phase-space quantization, avoiding traditional operator methods and focusing on a direct Weyl correspondence approach.

Contribution

It provides a novel derivation of uncertainty relations entirely within phase-space quantization, bypassing conventional operator-based methods.

Findings

All uncertainty relations can be derived within phase-space quantization.

The derivation does not rely on operator methods or marginal distributions.

The approach simplifies understanding of uncertainty principles.

Abstract

A concise derivation of all uncertainty relations is given entirely within the context of phase-space quantization, without recourse to operator methods, to the direct use of Weyl's correspondence, or to marginal distributions of x and p.