On Some Open Problems in Many-Electron Theory

TL;DR

This paper discusses open problems in many-electron theory highlighted by leading researchers, emphasizing their impact on theoretical understanding and computational methods across disciplines.

Contribution

It presents open challenges in many-electron theory identified by Levy and Lieb, aiming to inspire future research and interdisciplinary collaboration.

Findings

Revolutionized theoretical approach to many-electron systems

Enabled quantum jumps in computational treatment of realistic systems

Identified key open problems for future research

Abstract

Mel Levy and Elliott Lieb are two of the most prominent researchers who have dedicated their efforts to the investigation of fundamental questions in many-electron theory. Their results have not only revolutionized the theoretical approach of the field, but, directly or indirectly, allowed for a quantum jump in the computational treatment of realistic systems as well. For this reason, at the conclusion of our book where the subject is treated across different disciplines, we have asked Mel Levy and Elliott Lieb to provide us with some open problems, which they believe will be a worth challenge for the future also in the perspective of a synergy among the various disciplines.