GAP LABELLING THEOREMS FOR ONE DIMENSIONAL DISCRETE SCHRÖDINGER OPERATORS-Reference-Cited by-同舟云学术

GAP LABELLING THEOREMS FOR ONE DIMENSIONAL DISCRETE SCHRÖDINGER OPERATORS

Published:1992-03 Issue:01 Volume:04 Page:1-37
ISSN:0129-055X
Container-title:Reviews in Mathematical Physics
language:en
Short-container-title:Rev. Math. Phys.

Author:

BELLISSARD JEAN¹²,BOVIER ANTON³,GHEZ JEAN-MICHEL¹⁴

Affiliation:

1. Centre de Physique Theorique, C.N.R.S., Luminy Case 907, F-13288 Marseille Cedex 9, France

2. Wissenshaftskolleg zu Berlin, Wallotstrasse 19, W-1000 Berlin 33, Germany

3. Mathematisches Institut, Ruhr-Universität Bochum, W-4630 Bochum, Germany

4. Fachbereich Mathematik MA 7–2, Technische Universität, W-1000 Berlin 12, Germany

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129055X92000029

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