An alternate well-founded way to treat the center-of-mass correlations: use of a local center-of-mass correlations potential

TL;DR

This paper proposes a new, parameter-free local potential functional within internal Density Functional Theory to efficiently account for center-of-mass correlations in Fermions and Bosons, avoiding costly projection methods.

Contribution

It introduces a well-founded, parameter-free method to construct a local potential functional for center-of-mass correlations in quantum many-body systems.

Findings

Provides a theoretical framework for a local potential functional

Applicable to both Fermions and Bosons

Eliminates the need for projection techniques

Abstract

The recently developed "internal" Density Functional Theory provides an existence theorem for a local potential that contains the center-of-mass correlations effects. The knowledge of the corresponding energy functional would provide a much cheaper way than projection techniques to treat these correlations. The aim of this article is to construct such a functional. We propose a well-founded method, suitable for Fermions as well as for Bosons, which does not require any free parameters.