On-diagonal singularities of the Green functions for Schrödinger operators

DOI10.1063/1.2113087zbMath1111.81055arXivmath-ph/0411078OpenAlexW2056122301MaRDI QIDQ3438688

Jochen Brüning, Konstantin Pankrashkin, Vladimir A. Geyler

Publication date: 16 May 2007

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

Full work available at URL: https://arxiv.org/abs/math-ph/0411078

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (10)

Regular potential approximation for \(\delta\)-perturbation supported by curve of the Laplace-Beltrami operator on the sphere ⋮ SPECTRA OF SELF-ADJOINT EXTENSIONS AND APPLICATIONS TO SOLVABLE SCHRÖDINGER OPERATORS ⋮ Resolvents of self-adjoint extensions with mixed boundary conditions ⋮ A Quantum Dot with Impurity in the Lobachevsky Plane ⋮ Approximation of a point perturbation on a Riemannian manifold ⋮ Vladimir A. Geyler ⋮ Parametrization of supersingular perturbations in the method of rigged Hilbert spaces ⋮ On the harmonic oscillator on the Lobachevsky plane ⋮ Boundary relations and their Weyl families ⋮ Schrödinger operator with a superposition of short-range and point potentials

Cites Work

• Unnamed Item
• Unnamed Item
• Pseudo-laplaciens. I
• Handbook of Feynman path integrals
• Theory of defects in solids and three-dimensional gravity
• Potentials of zero radius and Carleman operators
• On the Green function of the Landau operator and its properties related to point interactions
• The theory of extensions and explicitly-soluble models
• Green functions of higher-order differential operators
• Green functions and propagation of waves in strongly inhomogeneous media
• Large gaps in point-coupled periodic systems of manifolds
• Scattering on compact manifolds with infinitely thin horns

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