A positive density analogue of the Lieb–Thirring inequality

• Published in: Duke Mathematical Journal
• Main Authors: Frank, Rupert L., Lewin, Mathieu, Lieb, Elliott H., Seiringer, Robert
• Format: Article in Journal/Newspaper
• Language: unknown
• Published: Duke University Press 2013
• Subjects: laptev
• Online Access: https://doi.org/10.1215/00127094-2019477

The Lieb–Thirring inequalities give a bound on the negative eigenvalues of a Schrödinger operator in terms of an L^p-norm of the potential. These are dual to bounds on the H^1-norms of a system of orthonormal functions. Here we extend these bounds to analogous inequalities for perturbations of th...