Nodal statistics on quantum graphs
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Publication:1673725
DOI10.1007/s00220-018-3111-2zbMath1406.81037arXiv1709.10413OpenAlexW3105575315MaRDI QIDQ1673725
Gregory Berkolaiko, Lior Alon, Ram Band
Publication date: 13 September 2018
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.10413
Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Distance in graphs (05C12) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)
Related Items (11)
Concrete method for recovering the Euler characteristic of quantum graphs ⋮ Minimizing optimal transport for functions with fixed-size nodal sets ⋮ Spectral minimal partitions of unbounded metric graphs ⋮ Time evolution and the Schrödinger equation on time dependent quantum graphs * ⋮ Neumann domains on quantum graphs ⋮ On the hot spots of quantum graphs ⋮ Interlacing and Friedlander-type inequalities for spectral minimal partitions of metric graphs ⋮ On Pleijel's nodal domain theorem for quantum graphs ⋮ On fully supported eigenfunctions of quantum graphs ⋮ On the nodal structure of nonlinear stationary waves on star graphs ⋮ Limits of quantum graph operators with shrinking edges
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