Resonance chains in open systems, generalized zeta functions and clustering of the length spectrum

DOI10.1088/0951-7715/27/8/1829zbMath1295.81077arXiv1403.7771OpenAlexW3099438240MaRDI QIDQ2877444

Frédéric Faure, Sonja Barkhofen, Tobias Weich

Publication date: 22 August 2014

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.7771

zbMATH Keywords

zeta functiontransfer operatorscattering resonancesresonance chainsconves co-compactn-disk systemsSchottky surfaces

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum chaos (81Q50) Spectrum, resolvent (47A10) Open systems, reduced dynamics, master equations, decoherence (81S22)

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