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On negative eigenvalues of two-dimensional Schr\"odinger operators

Spectral Theory 2014-02-26 v4

Abstract

The paper presents estimates for the number of negative eigenvalues of a two-dimensional Schr\"odinger operator in terms of LlogLL\log L type Orlicz norms of the potential and proves a conjecture by N.N. Khuri, A. Martin and T.T. Wu.

Keywords

Cite

@article{arxiv.1203.4833,
  title  = {On negative eigenvalues of two-dimensional Schr\"odinger operators},
  author = {Eugene Shargorodsky},
  journal= {arXiv preprint arXiv:1203.4833},
  year   = {2014}
}

Comments

Hopefully the final version

R2 v1 2026-06-21T20:38:01.410Z