Zeta functions of the Dirac operator on quantum graphs

DOI10.1063/1.4964260zbMath1349.81101arXiv1606.07834OpenAlexW2469924345MaRDI QIDQ2832718

Jon M. Harrison, Klaus Kirsten, Tracy Weyand

Publication date: 14 November 2016

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

Full work available at URL: https://arxiv.org/abs/1606.07834

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Schrödinger operator, Schrödinger equation (35J10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (5)

Bogoliubov de Gennes equation on metric graphs ⋮ Dirac operators on infinite quantum graphs ⋮ Relating zeta functions of discrete and quantum graphs ⋮ Spectral Zeta Functions ⋮ Perspectives on relativistic quantum chaos

Cites Work

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• Spectral statistics for the Dirac operator on graphs
• Intermediate statistics for a system with symplectic symmetry: the Dirac rose graph
• Spectral determinants and zeta functions of Schrödinger operators on metric graphs
• Quantum graphs: I. Some basic structures

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