On negative eigenvalues of two-dimensional Schrödinger operators

Eugene Shargorodsky

doi:10.1112/plms/pdt036

On negative eigenvalues of two-dimensional Schrödinger operators

Eugene Shargorodsky

Research output: Contribution to journal › Article › peer-review

28 Citations (Scopus)

Abstract

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

Original language	English
Pages (from-to)	441-483
Number of pages	43
Journal	PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY
Volume	108
Issue number	2
Early online date	19 Jul 2013
DOIs	https://doi.org/10.1112/plms/pdt036
Publication status	Published - Feb 2014

Keywords

math.SP

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10.1112/plms/pdt036

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

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On negative eigenvalues of two-dimensional Schrödinger operators

Abstract

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