37 citations · 106 across the 5 of their papers we have counts for
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math-ph2005★ 30 cited
Spectrum of the Schrödinger operator in a perturbed periodically twisted tube
Pavel Exner, Hynek Kovařík
We study Dirichlet Laplacian in a screw-shaped region, i.e. a straight twisted tube of a non-circular cross section. It is shown that a local perturbation which consists of "slowin…
math-ph2004★ 34 cited
Spectrum of the Magnetic Schrodinger Operator in a Waveguide with Combined Boundary Conditions
Denis Borisov, Tomas Ekholm, Hynek Kovarik
We consider the magnetic Schrodinger operator in a two-dimensional strip. On the boundary of the strip the Dirichlet boundary condition is imposed except for a fixed segment (windo…