Impossibility of the Existence of the Universal Density Functional

TL;DR

This paper demonstrates that the hypothesis of a universal density functional in density functional theory is invalid, using the virial theorem to prove its impossibility.

Contribution

It provides a theoretical proof showing the non-existence of a universal density functional, challenging a fundamental assumption in density functional theory.

Findings

Universal density functional cannot exist according to the virial theorem.

The proof invalidates a key premise in density functional theory.

Supports the need for alternative approaches in electronic structure calculations.

Abstract

Using the virial theorem it is shown that the hypothesis of the existence of the universal density functional is invalid.