Geodesic
Structure of spectrum of Schr\"odinger operator with quasiperiodic potential near the ground state. The~discrete and continuous cases
Teoretičeskaâ i matematičeskaâ fizika, Tome 87 (1991) no. 2, pp. 207-219

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For a quasiperiodic Schrödinger operator whose ground state possesses certain properties, the structure of the spectrum near its left edge is investigated. An estimate is obtained for the measure of the excluded zones as a function of the rate of approximation of the rotation number by rational numbers. Both discrete and continuous operators are considered. 
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     author = {E. O. Lokutsievskaya},
     title = {Structure of spectrum of {Schr\"odinger} operator with quasiperiodic potential near the ground state. {The~discrete} and continuous cases},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {207--219},
     publisher = {mathdoc},
     volume = {87},
     number = {2},
     year = {1991},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1991_87_2_a3/}
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E. O. Lokutsievskaya. Structure of spectrum of Schr\"odinger operator with quasiperiodic potential near the ground state. The~discrete and continuous cases. Teoretičeskaâ i matematičeskaâ fizika, Tome 87 (1991) no. 2, pp. 207-219. http://geodesic.mathdoc.fr/item/TMF_1991_87_2_a3/