Energy density functional in nuclear physics

TL;DR

This paper provides a rigorous overview of energy density functional theory in nuclear physics, highlighting its unique features for many-nucleon systems and targeting newcomers to the field.

Contribution

It offers a detailed, mathematically rigorous derivation of the energy density functional specific to nuclear many-nucleon systems, distinguishing it from electron systems.

Findings

Rigorous derivation of nuclear energy density functional

Comparison of nuclear and electronic density functionals

Guidance for beginners in density functional theory

Abstract

Fundamentals of energy density functional in nuclear physics are presented. Much attention is paid to a mathematically rigorous treatment of deriving the energy density functional. The specific features of the density functional used in studying many-nucleon systems, which is quite different from that used in many-electron systems, are also shown. The intended audience are physicists, chemists and mathematicians. In particular those who will start to study the density functional theory are intended.