Approximation of a point perturbation on a Riemannian manifold

DOI10.1007/s11232-009-0003-9zbMath1176.81052OpenAlexW1980845137WikidataQ115380611 ScholiaQ115380611MaRDI QIDQ735678

Vladimir A. Geyler, Dmitriy A. Ivanov, Igor Yu. Popov

Publication date: 23 October 2009

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

Full work available at URL: https://doi.org/10.1007/s11232-009-0003-9

zbMATH Keywords

Riemannian manifoldapproximationpoint interaction

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (1)

Regular potential approximation for \(\delta\)-perturbation supported by curve of the Laplace-Beltrami operator on the sphere

Cites Work

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• Continuity properties of integral kernels associated with Schrödinger operators on manifolds
• On point interaction in quantum mechanics
• On-diagonal singularities of the Green functions for Schrödinger operators
• The theory of extensions and explicitly-soluble models
• A Panoramic View of Riemannian Geometry
• Quantum mechanics of electrons in crystal lattices

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