Schrödinger operators with many bound states

Schrödinger operators with many bound states

David Damanik and Christian Remling

Source: Duke Math. J. Volume 136, Number 1 (2007), 51-80.

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 $H_{\pm}$

Primary Subjects: 34L15, 81Q10

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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1165244879
Digital Object Identifier: doi:10.1215/S0012-7094-07-13612-3

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