Point interactions in two- and three-dimensional Riemannian manifolds

DOI10.1088/1751-8113/43/33/335204zbMath1195.81050arXiv1008.0161OpenAlexW3100426890MaRDI QIDQ5747554

Fatih Erman, O. Teoman Turgut

Publication date: 13 September 2010

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

Full work available at URL: https://arxiv.org/abs/1008.0161

zbMATH Keywords

characteristic operatorprincipal operator

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Gamma, beta and polygamma functions (33B15) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) Many-body theory; quantum Hall effect (81V70) Heat kernel (35K08) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (14)

Rank one perturbations supported by hybrid geometries and their deformations ⋮ Compact submanifolds supporting singular interactions ⋮ Singularity-free treatment of delta-function point scatterers in two dimensions and its conceptual implications ⋮ Nondegeneracy of the ground state for nonrelativistic Lee model ⋮ Renormalization of multi-delta-function point scatterers in two and three dimensions, the coincidence-limit problem, and its resolution ⋮ On the number of bound states of point interactions on hyperbolic manifolds ⋮ A Klein-Gordon particle captured by embedded curves ⋮ Infinitely many singular interactions on noncompact manifolds ⋮ Unnamed Item ⋮ Scattering by a collection of \(\delta\)-function point and parallel line defects in two dimensions ⋮ Geometric scattering of a scalar particle moving on a curved surface in the presence of point defects ⋮ Existence of Hamiltonians for some singular interactions on manifolds ⋮ Non-relativistic Lee model in two-dimensional Riemannian manifolds ⋮ Born-Oppenheimer approximation for a singular system

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