Unique continuation for many-body Schrödinger operators and the Hohenberg-Kohn theorem

Abstract

We prove the strong unique continuation property for many-body Schrödinger operators with an external potential and an interaction potential both in $L_{\mathrm{loc}}^p({\mathbb{R}}^d)$, where $p>\max (2d/3,2)$, independently of the number of particles. With the same assumptions, we obtain the Hohenberg-Kohn theorem, which is one of the most fundamental results in Density Functional Theory.

This is a corrected version of the published article