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GAP LABELLING THEOREMS FOR ONE DIMENSIONAL DISCRETE SCHRÖDINGER OPERATORS
JEAN BELLISSARD, ANTON BOVIER, JEAN-MICHEL GHEZ
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Source: Crossref
Published: Mar 1, 1992
DOI: 10.1142/s0129055x92000029
Open original source ↗Source abstract
We study one dimensional tight binding hamiltonians with potentials given by automatic sequences. By means of Shubin’s formula, we show how K-theory allows to prove gap labelling theorems for their spectrum. We apply them to some examples, for which we compare their predictions to previous results.
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