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

Preprint English OPEN
Garrigue, Louis;
  • Related identifiers: doi: 10.1007/s11040-018-9287-z
  • Subject: Mathematical Physics | Mathematics - Analysis of PDEs
    arxiv: Mathematics::Spectral Theory

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 assump... View more
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