Degenerate band edges in periodic quantum graphs
DOI10.1007/s11005-020-01312-xzbMath1456.81194arXiv2001.03566OpenAlexW3102672433MaRDI QIDQ2224498
Publication date: 3 February 2021
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.03566
spectral theoryquantum graphsmathematical physicsFloquet-Bloch theoryperiodic differential operatorsband edgesmaximal abelian coverings
Estimates of eigenvalues in context of PDEs (35P15) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) General spectral theory of ordinary differential operators (34L05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Dispersion theory, dispersion relations arising in quantum theory (81U30) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)
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Cites Work
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