59 citations
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math-ph2018★ 4 cited
A family of quantum graph vertex couplings interpolating between different symmetries
Pavel Exner, Ondřej Turek, Miloš Tater
The paper discusses quantum graphs with a vertex coupling which interpolates between the common one of the type and a coupling introduced recently by two of the authors which e…
math-ph2018★ 1 cited
Gaps in the spectrum of a cuboidal periodic lattice graph
Ondřej Turek
We locate gaps in the spectrum of a Hamiltonian on a periodic cuboidal (and generally hyperrectangular) lattice graph with couplings in the vertices. We formulate sufficient co…