On negative eigenvalues of two-dimensional Schrödinger operators

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.

Hopefully the final version

Cited by in corpus (9)

• 100 years of Weyl's law
• Spectral dimension and Bohr's formula for Schrodinger operators on unbounded fractal spaces
• An estimate for the Morse index of a Stokes wave
• On negative eigenvalues of two-dimensional Schroedinger operators with singular potentials
• Weyl's laws and Connes' integration formulas for matrix-valued $L\log L$-Orlicz potentials
• Calogero type bounds in two dimensions
• Accumulation Rate of Bound States of Dipoles in Graphene
• Quantitative results on continuity of the spectral factorization mapping
• Accumulation Rate of Bound States of Dipoles Generated by Point Charges in Strained Graphene