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15 January 2007 Schrödinger operators with many bound states
David Damanik, Christian Remling
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Duke Math. J. 136(1): 51-80 (15 January 2007). DOI: 10.1215/S0012-7094-07-13612-3

Abstract

Consider the Schrödinger operators H±=-d2/dx2±V(x). We present a method for estimating the potential in terms of the negative eigenvalues of these operators. Among the applications are inverse Lieb-Thirring inequalities and several sharp results concerning the spectral properties of H±

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David Damanik. Christian Remling. "Schrödinger operators with many bound states." Duke Math. J. 136 (1) 51 - 80, 15 January 2007. https://doi.org/10.1215/S0012-7094-07-13612-3

Information

Published: 15 January 2007
First available in Project Euclid: 4 December 2006

zbMATH: 0476.03047
MathSciNet: MR2271295
Digital Object Identifier: 10.1215/S0012-7094-07-13612-3

Subjects:
Primary: 34L15, 81Q10

Rights: Copyright © 2007 Duke University Press

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Vol.136 • No. 1 • 15 January 2007
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