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arXiv · 1804.07564

Unique continuation for many-body Schr\"odinger operators and the Hohenberg-Kohn theorem

Louis Garrigue
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Abstract

We prove the strong unique continuation property for many-body Schr\"odinger operators with an external potential and an interaction potential both in $L^p_{\rm loc}(\mathbb{R}^d)$, 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.

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Louis Garrigue. 2018-04-20. Unique continuation for many-body Schr\"odinger operators and the Hohenberg-Kohn theorem. https://doi.org/10.1007/s11040-018-9287-z

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