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arxiv: 1203.4833 · v4 · pith:TR3S4K3Bnew · submitted 2012-03-21 · 🧮 math.SP

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

classification 🧮 math.SP
keywords eigenvaluesnegativeodingerschrtwo-dimensionalconjectureestimateskhuri
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The paper presents estimates for the number of negative eigenvalues of a two-dimensional Schr\"odinger 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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