Schrödinger Operators with Many Bound States

Details Schrödinger Operators with Many Bound States Schrödinger Operators with Many Bound States

2004-12-26

arxiv.org/abs/math-ph/0412091v1

Physics

Mathematical Physics

22 pages

Scientific paper

Consider the Schr\"odinger 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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