Spectral determinant on quantum graphs

DOI10.1006/aphy.2000.6056zbMath0960.58016arXivcond-mat/9911183OpenAlexW2147249521MaRDI QIDQ1588733

Alain Comtet, Gilles Montambaux, Jean Desbois, Christophe Texier, Eric Akkermans

Publication date: 4 December 2000

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

Full work available at URL: https://arxiv.org/abs/cond-mat/9911183

zbMATH Keywords

Laplacianquantum graphsspectral determinant

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Determinants and determinant bundles, analytic torsion (58J52)

Related Items

Eigenvalue asymptotics for the damped wave equation on metric graphs, Localization effects in a periodic quantum graph with magnetic field and spin-orbit interaction, Spectral properties of quantum circulant graphs, Eigenmodes of the Laplacian on some Laakso spaces, Spectral determinants and an Ambarzumian type theorem on graphs, An Ambarzumian-type theorem on graphs with odd cycles, Dirac and magnetic Schrödinger operators on fractals, Survival of classical and quantum particles in the presence of traps, One-dimensional disordered quantum mechanics and Sinai diffusion with random absorbers, VIBRATION SPECTRA OF FINITELY RAMIFIED, SYMMETRIC FRACTALS, Estimation of number of modes in periodic graphs, On conditions for transmission in the Sturm-Liouville problem on a network, Complete dynamical evaluation of the characteristic polynomial of binary quantum graphs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Chaos in classical and quantum mechanics
• Periodic orbit theory and spectral statistics for quantum graphs
• Statistical Field Theory