Spectral determinants and zeta functions of Schrödinger operators on metric graphs

DOI10.1088/1751-8113/45/12/125206zbMath1245.81034arXiv1111.0643OpenAlexW3101202724MaRDI QIDQ5388951

Klaus Kirsten, Christophe Texier, Jon M. Harrison

Publication date: 24 April 2012

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

Full work available at URL: https://arxiv.org/abs/1111.0643

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (7)

Spectral properties of quantum circulant graphs ⋮ Spectral determinants and an Ambarzumian type theorem on graphs ⋮ Relating zeta functions of discrete and quantum graphs ⋮ An Ambarzumian-type theorem on graphs with odd cycles ⋮ Can one hear the spanning trees of a quantum graph? ⋮ One-dimensional disordered quantum mechanics and Sinai diffusion with random absorbers ⋮ Zeta functions of the Dirac operator on quantum graphs

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