An Eigenvalue Inequality for Schrödinger Operators with δ- and δ’-interactions Supported on Hypersurfaces

DOI10.1007/978-3-319-18182-0_10zbMath1346.35135arXiv1407.5539OpenAlexW2460962975MaRDI QIDQ2820973

Vladimir Lotoreichik, Jonathan Rohleder

Publication date: 16 September 2016

Published in: Operator Algebras and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.5539

zbMATH Keywords

discrete spectrumeigenvalue inequality\(\delta\)- and \(\delta'\)-interactions on a hypersurface

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Variational methods for second-order elliptic equations (35J20)

Related Items (6)

2D Schrödinger operators with singular potentials concentrated near curves ⋮ Construction of self‐adjoint differential operators with prescribed spectral properties ⋮ A spectral isoperimetric inequality for cones ⋮ Eigenvalue inequalities for the Laplacian with mixed boundary conditions ⋮ On absence of bound states for weakly attractive δ′-interactions supported on non-closed curves in ℝ2 ⋮ Generalized interactions supported on hypersurfaces

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