Non-Weyl asymptotics for quantum graphs with general coupling conditions

DOI10.1088/1751-8113/43/47/474013zbMath1204.81078arXiv1004.0856OpenAlexW3100545372MaRDI QIDQ3065975

Pavel Exner, Jiří Lipovský, E. Brian Davies

Publication date: 7 January 2011

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

Full work available at URL: https://arxiv.org/abs/1004.0856

Mathematics Subject Classification ID

Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (17)

Eigenvalue asymptotics for the damped wave equation on metric graphs ⋮ Scattering resonances of large weakly open quantum graphs ⋮ Nodal statistics on quantum graphs ⋮ Rayleigh estimates for differential operators on graphs ⋮ Dynamics of nodal points and the nodal count on a family of quantum graphs ⋮ NON-WEYL RESONANCE ASYMPTOTICS FOR QUANTUM GRAPH WITH THE DIRAC OPERATOR ON EDGES ⋮ Non-Weyl resonance asymptotics for quantum graphs in a magnetic field ⋮ Generic asymptotics of resonance counting function for Schrödinger point interactions ⋮ Quantum graph in a magnetic field and resonance states completeness ⋮ Pseudo-orbit approach to trajectories of resonances in quantum graphs with general vertex coupling: Fermi rule and high-energy asymptotics ⋮ Maximal quasi-accretive Laplacians on finite metric graphs ⋮ Spectral asymptotics of the Laplacian on Platonic solids graphs ⋮ A Fermi golden rule for quantum graphs ⋮ Pareto optimization of resonances and minimum-time control ⋮ On the multilevel internal structure of the asymptotic distribution of resonances ⋮ Spectrum of a non-selfadjoint quantum star graph ⋮ Microwave studies of the spectral statistics in chaotic systems

This page was built for publication: Non-Weyl asymptotics for quantum graphs with general coupling conditions