On negative eigenvalues of two-dimensional Schrödinger operators with singular potentials

DOI10.1063/5.0004481zbMath1443.81031arXiv1912.05447OpenAlexW3099728025MaRDI QIDQ3298933

Martin Karuhanga, Eugene Shargorodsky

Publication date: 16 July 2020

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.05447

zbMATH Keywords

Lipschitz curvesOrlicz normsAhlfors regular measures

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Asymptotic distributions of eigenvalues in context of PDEs (35P20)

Related Items (7)

Eigenvalues of singular measures and Connes' noncommutative integration ⋮ Weyl's laws and Connes' integration formulas for matrix-valued \(L\!\log \!L\)-Orlicz potentials ⋮ Calogero type bounds in two dimensions ⋮ Eigenvalue asymptotics for weighted polyharmonic operator with a singular measure in the critical case ⋮ Eigenvalue estimates and asymptotics for weighted pseudodifferential operators with singular measures in the critical case ⋮ Lieb-Thirring estimates for singular measures ⋮ Eigenvalues of the Birman-Schwinger operator for singular measures: the noncritical case

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