Existence of a Density Functional for an Intrinsic State

TL;DR

This paper proves the existence of a density functional for an intrinsic, symmetry-violating state, enabling the projection of physical states with well-defined quantum numbers, thus extending density functional theory.

Contribution

It generalizes the Hohenberg-Kohn theorem to include intrinsic states that violate symmetry, providing a foundation for new density functional approaches.

Findings

Proves the existence of a density functional for intrinsic states.

Enables projection of physical states with good quantum numbers.

Extends the theoretical framework of density functional theory.

Abstract

A generalization of the Hohenberg-Kohn theorem proves the existence of a density functional for an intrinsic state, symmetry violating, out of which a physical state with good quantum numbers can be projected.