Spectral gap of segments of periodic waveguides

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dc.creatorKondej, Sylwia
dc.creatorVeselic', Ivan
dc.date2006-08-02
dc.date2006-10-16
dc.date.accessioned2026-07-07T07:20:36Z
dc.date.available2026-07-07T07:20:36Z
dc.descriptionWe consider a periodic strip in the plane and the associated quantum waveguide with Dirichlet boundary conditions. We analyse finite segments of the waveguide consisting of $L$ periodicity cells, equipped with periodic boundary conditions at the ``new'' boundaries. Our main result is that the distance between the first and second eigenvalue of such a finite segment behaves like $L^{-2}$.
dc.description3 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0608005
dc.identifierhttp://arxiv.org/abs/math-ph/0608005
dc.identifierdoi:10.1007/s11005-006-0111-5
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115003
dc.subjectMathematical Physics
dc.subjectSpectral Theory
dc.titleSpectral gap of segments of periodic waveguides
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