Schrödinger operators with many bound states

Schrödinger operators with many bound states
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具有许多束缚态的薛定谔算子

DOI:
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发表时间:
2004
期刊:
影响因子:
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通讯作者:
C. Remling
C. Remling
中科院分区:
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文献类型:
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作者:
D. Damanik;C. Remling

文献摘要

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考虑薛定谔算子H± =-d2/dx 2 ± V(x)。我们提出了一种方法来估计这些运营商的负本征值方面的潜力。其中包括逆Lieb-Thirring不等式和关于H±的谱性质的一些尖锐结果。
Consider the Schrodinger 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±.