中文

Schr\"odinger Operators with Many Bound States

数学物理 2014-12-30 v1 math.MP 谱理论

摘要

Consider the Schr\"odinger operators H±=d2/dx2±V(x)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±H_{\pm}.

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引用

@article{arxiv.math-ph/0412091,
  title  = {Schr\"odinger Operators with Many Bound States},
  author = {David Damanik and Christian Remling},
  journal= {arXiv preprint arXiv:math-ph/0412091},
  year   = {2014}
}

备注

22 pages