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

Garrigue, Louis (2018), Unique continuation for many-body Schrodinger operators and the Hohenberg-Kohn theorem, 2199-1413, 21, 3. 10.1007/s11040-018-9287-z

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Article accepté pour publication ou publié
Date
2018
Journal name
2199-1413
Volume
21
Number
3
Publisher
Springer
Publication identifier
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Author(s)
Garrigue, Louis
Abstract (EN)
We prove the strong unique continuation property for many-body Schrodinger operators with an external potential and an interaction potential both in Lploc(Rd), 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.
Subjects / Keywords
Mathematical physics; Analysis of PDE