# The Wigner function in the relativistic quantum mechanics

## TL;DR

This paper provides an in-depth analysis of the relativistic Wigner function for a spinless particle governed by the Salpeter equation, exploring its properties and implications in relativistic quantum mechanics.

## Contribution

It introduces a detailed formulation of the relativistic Wigner function within the framework of the Salpeter equation, advancing understanding of phase-space representations in relativistic quantum theory.

## Key findings

- Characterization of the relativistic Wigner function for spinless particles
- Insights into the evolution and properties of the Wigner function in relativistic settings
- Potential applications to quantum relativistic systems

## Abstract

A detailed study is presented of the relativistic Wigner function for a quantum spinless particle evolving in time according to the Salpeter equation.