Large gaps in point-coupled periodic systems of manifolds

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dc.creatorBruening, J.
dc.creatorExner, P.
dc.creatorGeyler, V. A.
dc.date2002-12-18
dc.date.accessioned2026-07-07T06:33:58Z
dc.date.available2026-07-07T06:33:58Z
dc.descriptionWe study a free quantum motion on periodically structured manifolds composed of elementary two-dimensional "cells" connected either by linear segments or through points where the two cells touch. The general theory is illustrated with numerous examples in which the elementary components are spherical surfaces arranged into chains in a straight or zigzag way, or two-dimensional square-lattice "carpets". We show that the spectra of such systems have an infinite number of gaps and that the latter dominate the spectrum at high energies.
dc.descriptionLaTeX 2e, 24 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0212052
dc.identifierhttp://arxiv.org/abs/math-ph/0212052
dc.identifierJ. Phys. A36 (2003), 4875-4890
dc.identifierdoi:10.1088/0305-4470/36/17/314
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99374
dc.subjectMathematical Physics
dc.subjectCondensed Matter
dc.subjectQuantum Physics
dc.titleLarge gaps in point-coupled periodic systems of manifolds
dc.typetext

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