138 citations · 1.3k across the 90 of their papers we have counts for
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Effective quantum dynamics on the Möbius strip
Tomáš Kalvoda, David Krejcirik, Katerina Zahradova
The Laplace-Beltrami operator in the curved Möbius strip is investigated in the limit when the width of the strip tends to zero. By establishing a norm-resolvent convergence, it is…
Quantum strips in higher dimensions
David Krejcirik, Katerina Zahradova
We consider the Dirichlet Laplacian in unbounded strips on ruled surfaces in any space dimension. We locate the essential spectrum under the condition that the strip is asymptotica…
Absolute continuity of the spectrum in a twisted Dirichlet-Neumann waveguide
Philippe Briet, Jaroslav Dittrich, David Krejcirik
Quantum waveguide with the shape of planar infinite straight strip and combined Dirichlet and Neumann boundary conditions on the opposite half-lines of the boundary is considered.…