Schrödinger operators with many bound states

David Damanik; Christian Remling

doi:10.1215/S0012-7094-07-13612-3

Abstract

Consider the Schrödinger operators $H_{\pm}=-d^2/dx^2\pm V(x)$ . 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 $H_{\pm}$

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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

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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

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