Unique continuation for many-body Schrodinger operators and the Hohenberg-Kohn theorem - Archive ouverte HAL
Article Dans Une Revue Mathematical Physics, Analysis and Geometry Année : 2018

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

Résumé

We prove the strong unique continuation property for many-body Schrodinger operators with an external potential and an interaction potential both in $L^p_{loc}(\mathbb{R}^d)$, 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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Dates et versions

hal-01770288 , version 1 (20-04-2018)
hal-01770288 , version 2 (21-05-2018)
hal-01770288 , version 3 (29-05-2018)
hal-01770288 , version 4 (01-03-2019)

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Citer

Louis Garrigue. Unique continuation for many-body Schrodinger operators and the Hohenberg-Kohn theorem. Mathematical Physics, Analysis and Geometry, 2018, 21 (3). ⟨hal-01770288v4⟩
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