Geodesic
Anderson localization in the nondiscrete maryland model
Teoretičeskaâ i matematičeskaâ fizika, Tome 70 (1987) no. 2, pp. 192-201

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The Schrödinger operator $H=H_0+V$, is considered where $V$ is an almost periodic potential of point interactions and the Hamiltonian $H_0$ is subject to certain conditions satisfied, in particular, by two- and three-dimensional operators of the form $H_0=-\Delta$ and $H_0=(i\nabla-\mathbf{A})^2$ $\mathbf{A}$ being a vector-potential of a uniform magnetic field. It is proved that under certain conditions of incommensurability for $V$, non-degenerate localised states of the operator $H$ are dense in forbidden bands of $H_0$; the expressions for corresponding eigen-functions are found. 
@article{TMF_1987_70_2_a3,
     author = {V. A. Geiler and V. A. Margulis},
     title = {Anderson localization in the nondiscrete maryland model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {192--201},
     publisher = {mathdoc},
     volume = {70},
     number = {2},
     year = {1987},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1987_70_2_a3/}
}
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V. A. Geiler; V. A. Margulis. Anderson localization in the nondiscrete maryland model. Teoretičeskaâ i matematičeskaâ fizika, Tome 70 (1987) no. 2, pp. 192-201. http://geodesic.mathdoc.fr/item/TMF_1987_70_2_a3/