A positive density analogue of the Lieb-Thirring inequality
Frank R, Lewin M, Lieb É, Seiringer R. 2013. A positive density analogue of the Lieb-Thirring inequality. Duke Mathematical Journal. 162(3), 435–495.
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Author
Frank, Rupert L;
Lewin, Mathieu;
Lieb, Élliott H;
Seiringer, RobertISTA 
Abstract
The Lieb-Thirring inequalities give a bound on the negative eigenvalues of a Schrödinger operator in terms of an Lp-norm of the potential. These are dual to bounds on the H1-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).
Publishing Year
Date Published
2013-02-01
Journal Title
Duke Mathematical Journal
Publisher
Duke University Press
Volume
162
Issue
3
Page
435 - 495
IST-REx-ID
Cite this
Frank R, Lewin M, Lieb É, Seiringer R. A positive density analogue of the Lieb-Thirring inequality. Duke Mathematical Journal. 2013;162(3):435-495. doi:10.1215/00127094-2019477
Frank, R., Lewin, M., Lieb, É., & Seiringer, R. (2013). A positive density analogue of the Lieb-Thirring inequality. Duke Mathematical Journal. Duke University Press. https://doi.org/10.1215/00127094-2019477
Frank, Rupert, Mathieu Lewin, Élliott Lieb, and Robert Seiringer. “A Positive Density Analogue of the Lieb-Thirring Inequality.” Duke Mathematical Journal. Duke University Press, 2013. https://doi.org/10.1215/00127094-2019477.
R. Frank, M. Lewin, É. Lieb, and R. Seiringer, “A positive density analogue of the Lieb-Thirring inequality,” Duke Mathematical Journal, vol. 162, no. 3. Duke University Press, pp. 435–495, 2013.
Frank R, Lewin M, Lieb É, Seiringer R. 2013. A positive density analogue of the Lieb-Thirring inequality. Duke Mathematical Journal. 162(3), 435–495.
Frank, Rupert, et al. “A Positive Density Analogue of the Lieb-Thirring Inequality.” Duke Mathematical Journal, vol. 162, no. 3, Duke University Press, 2013, pp. 435–95, doi:10.1215/00127094-2019477.
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