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

Article, Preprint English OPEN
Garrigue , Louis (2018)
  • Publisher: HAL CCSD
  • Subject: [ MATH.MATH-AP ] Mathematics [math]/Analysis of PDEs [math.AP] | [ CHIM.THEO ] Chemical Sciences/Theoretical and/or physical chemistry | [ MATH.MATH-MP ] Mathematics [math]/Mathematical Physics [math-ph]

We prove the strong unique continuation property for many-body Schrödinger operators with an external potential and an interaction potential both in $L^p_{\rm{loc}}(\mathbb{R}^d)$, where p > 2 if d = 3 and p = max(2d/3, 2) otherwise, independently of the number of parti... View more
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