Geodesic
Gauge-periodic point perturbations on the Lobachevsky plane
Teoretičeskaâ i matematičeskaâ fizika, Tome 119 (1999) no. 3, pp. 368-380 Cet article a éte moissonné depuis la source Math-Net.Ru

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We study periodic point perturbations of the Shrödinger operator with a uniform magnetic field on the Lobachevsky plane. We prove that the spectrum gaps of the perturbed operator are labeled by the elements of the $K_0$ group of a $C^*$ algebra associated with the operator. In particular, if the $C^*$ algebra has the Kadison property, then the operator spectrum has a band structure. 
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     author = {J. Br\"uning and V. A. Geiler},
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J. Brüning; V. A. Geiler. Gauge-periodic point perturbations on the Lobachevsky plane. Teoretičeskaâ i matematičeskaâ fizika, Tome 119 (1999) no. 3, pp. 368-380. http://geodesic.mathdoc.fr/item/TMF_1999_119_3_a1/

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