Geodesic
On the eigenfunctions of the monodromy operator of the Schr\"odinger operator with a~time-periodic potential
Sbornik. Mathematics, Tome 52 (1985) no. 2, pp. 423-438

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It is shown that the eigenfunctions of the monodromy operator of the Schrödinger operator (with a potential periodic in time and rapidly decreasing in the space variables) decay in the space variables faster than any power. The spectrum of the monodromy operator is also investigated. It is proved that 1) the monodromy operator has no singular continuous spectrum; and 2) the total number of eigenfunctions of the monodromy operator (counting multiplicity) is finite. Bibliography: 19 titles. 
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     author = {E. L. Korotyaev},
     title = {On the eigenfunctions of the monodromy operator of the {Schr\"odinger} operator with a~time-periodic potential},
     journal = {Sbornik. Mathematics},
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     volume = {52},
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     year = {1985},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1985_52_2_a7/}
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E. L. Korotyaev. On the eigenfunctions of the monodromy operator of the Schr\"odinger operator with a~time-periodic potential. Sbornik. Mathematics, Tome 52 (1985) no. 2, pp. 423-438. http://geodesic.mathdoc.fr/item/SM_1985_52_2_a7/