The trace formula for a point scatterer on a compact hyperbolic surface

DOI10.1063/1.3679761zbMath1273.81105arXiv1109.4329OpenAlexW3098951197MaRDI QIDQ2853651

Henrik Ueberschär

Publication date: 16 October 2013

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

Full work available at URL: https://arxiv.org/abs/1109.4329

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum chaos (81Q50) Elliptic equations on manifolds, general theory (58J05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) (2)-body potential quantum scattering theory (81U05) Automorphic forms in several complex variables (32N10) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (2)

Quantum chaos for point scatterers on flat tori ⋮ On the eigenvalue spacing distribution for a point scatterer on the flat torus

Cites Work

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• FORMULE DE TRACE SEMI-CLASSIQUE SUR UNE VARIETE DE DIMENSION 3 AVEC UN POTENTIEL DE DIRAC
• Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation Laws

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