Explicit derivation of the propagator for a point interaction in three dimensional hyperbolic space

DOI10.1007/s10773-024-05796-4MaRDI QIDQ6651652

Fatih Erman

Publication date: 10 December 2024

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

zbMATH Keywords

resolventrenormalizationpropagatordelta potentials in one and three dimensions

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Qxx) General theory of linear operators (47Axx) General mathematical topics and methods in quantum theory (81Qxx)

Cites Work

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• Alternative method for determining the Feynman propagator of a non-relativistic quantum mechanical problem
• On the number of bound states of point interactions on hyperbolic manifolds
• Derivation of the time-dependent propagator for the three-dimensional Schrodinger equation with one point interaction
• Finitely many Dirac-delta interactions on Riemannian manifolds
• Explicit derivation of the propagator for a Dirac delta potential
• Explicit time-dependent Schrodinger propagators
• Time-dependent propagator with point interaction
• A table of integrals of the Error functions
• Point interactions in two- and three-dimensional Riemannian manifolds

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