An analytic expression for the electronic correlation term of the kinetic functional

TL;DR

This paper introduces an explicit analytic formula for the electronic kinetic correlation term in the kinetic density functional, based on physical principles and rigorous mathematics.

Contribution

It provides a novel, well-founded analytic expression for the non-local Fisher information functional in electronic structure calculations.

Findings

Derived a closed-form expression for the kinetic correlation term.

The formula is grounded in physical reasoning and mathematical rigor.

Facilitates improved computational approaches for electronic density functionals.

Abstract

We propose an analytic formula for the non-local Fisher information functional, or electronic kinetic correlation term, appearing in the expression of the kinetic density functional. Such an explicit formula is constructed on the basis of well-founded physical arguments and a rigorous mathematical prescription.