Comparison of numerical treatments for the pseudo-differential term in the Wigner equation

TL;DR

This paper compares various numerical methods for accurately handling the nonlocal pseudo-differential term in the Wigner equation across different potential types.

Contribution

It provides a systematic analysis and comparison of numerical treatments for the pseudo-differential term in the Wigner equation, highlighting their effectiveness.

Findings

Different numerical treatments vary in accuracy depending on potential type

The paper identifies the most effective methods for specific potential scenarios

Guidelines for choosing numerical treatments based on potential characteristics

Abstract

Effectively handling the nonlocal pseudo-differential term plays an impor?tant role in solving the Wigner equation with high accuracy. This paper systematically analyzes and compares numerical treatments of the pseudo-differential term under different types of potentials.