 02523 Jochen Bruening, Pavel Exner, Vladimir A. Geyler
 Large gaps in pointcoupled periodic systems of manifolds
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Dec 18, 02

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Abstract. We study a free quantum motion on periodically
structured manifolds composed of elementary twodimensional
"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
twodimensional squarelattice "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.
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