Spectra of Schroedinger operators on equilateral quantum graphs

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dc.creatorPankrashkin, Konstantin
dc.date2005-12-28
dc.date2006-01-05
dc.date.accessioned2026-07-07T06:54:42Z
dc.date.available2026-07-07T06:54:42Z
dc.descriptionWe consider magnetic Schroedinger operators on quantum graphs with identical edges. The spectral problem for the quantum graph is reduced to the discrete magnetic Laplacian on the underlying combinatorial graph and a certain Hill operator. In particular, it is shown that the spectrum on the quantum graph is the preimage of the combinatorial spectrum under a certain entire function. Using this correspondence we show that that the number of gaps in the spectrum of the Schroedinger operators admits an estimate from below in terms of the Hill operator independently of the graph structure.
dc.description14 pages: content reorganized, typos corrected
dc.identifierhttps://arxiv.org/abs/math-ph/0512090
dc.identifierhttp://arxiv.org/abs/math-ph/0512090
dc.identifierLett. Math. Phys. 77 (2006) 139-154, available on www.springeronline.com (see DOI)
dc.identifierdoi:10.1007/s11005-006-0088-0
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106033
dc.subjectMathematical Physics
dc.subjectDisordered Systems and Neural Networks
dc.subjectMesoscale and Nanoscale Physics
dc.subjectSpectral Theory
dc.titleSpectra of Schroedinger operators on equilateral quantum graphs
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