A family of quantum graph vertex couplings interpolating between different symmetries

DOI10.1088/1751-8121/aac651zbMath1396.81098arXiv1804.01414OpenAlexW2795995449WikidataQ129789051 ScholiaQ129789051MaRDI QIDQ4686793

Pavel Exner, Ondřej Turek, Miloš Tater

Publication date: 4 October 2018

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

Full work available at URL: https://arxiv.org/abs/1804.01414

zbMATH Keywords

interpolationrotational symmetrycirculant matrixquantum graphssquare latticevertex couplingtime reversal noninvariance

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Scattering theory for PDEs (35P25) Vertex operators; vertex operator algebras and related structures (17B69) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Interpolation in approximation theory (41A05) Vertex degrees (05C07) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (1)

Quantum graphs: self-adjoint, and yet exhibiting a nontrivial \(\mathcal{PT}\)-symmetry

Cites Work

• Quantum graphs with vertices of a preferred orientation
• A general approximation of quantum graph vertex couplings by scaled Schrödinger operators on thin branched manifolds
• Hermitian symplectic geometry and extension theory
• High-energy asymptotics of the spectrum of a periodic square lattice quantum graph
• Mutually unbiased triplets from non-affine families of complex Hadamard matrices in dimension 6
• Cantor spectra of magnetic chain graphs
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