Schrödinger Operators with Many Bound States

preprint2004arXivOpen access

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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Schrödinger Operators with Many Bound States

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