Automorphic spectrum and Fermi's golden rule

DOI10.1007/BF02790224zbMath0809.30035OpenAlexW2003742140MaRDI QIDQ1333778

Ralph S. Phillips, Peter C. Sarnak

Publication date: 18 October 1994

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02790224

zbMATH Keywords

spectrumscattering theoryautomorphic

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items

Hyperbolic triangles without embedded eigenvalues ⋮ Perturbations of embedded eigenvalues for a magnetic Schrödinger operator on a cylinder ⋮ Persistence of embedded eigenvalues ⋮ Quantum limits of Eisenstein series in ℍ³ ⋮ On the Existence of Maass Cusp Forms on Hyperbolic Surfaces with Cone Points ⋮ Renormalization of integrals of products of Eisenstein series and analytic continuation of representations ⋮ A Fermi golden rule for quantum graphs

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• Resonances in n-body quantum systems with dilatation analytic potentials and the foundations of time-dependent perturbation theory
• Cusp forms and Hecke groups.
• Perturbation Theory for the Laplacian on Automorphic Functions
• Scattering Theory for Automorphic Functions. (AM-87)

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