Journal
DUKE MATHEMATICAL JOURNAL
Volume 162, Issue 3, Pages 435-495Publisher
DUKE UNIV PRESS
DOI: 10.1215/00127094-2019477
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Funding
- National Science Foundation [PHY-1068285, PHY-0965859]
- European Research Council [MNIQS-258023]
- Natural Sciences and Engineering Research Council
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The Lieb-Thirring inequalities give a bound on the negative eigenvalues of a Schrodinger 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 the Fermi sea of noninteracting particles (i.e., for perturbations of the continuous spectrum of the Laplacian by local potentials).
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