Geodesic
Two-dimensional Schrödinger operators in periodic fields
Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki", Tome 23 (1983), pp. 3-32
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A class of problems connected with the description of the motion of an attracted quantum particle in possibly time-dependent, periodic, external fields is studied on the basis of a development of the method of the inverse problem. 
@article{INTD_1983_23_a0,
     author = {S. P. Novikov},
     title = {Two-dimensional {Schr\"odinger} operators in periodic fields},
     journal = {Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya},
     pages = {3--32},
     year = {1983},
     volume = {23},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTD_1983_23_a0/}
}
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S. P. Novikov. Two-dimensional Schrödinger operators in periodic fields. Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki", Tome 23 (1983), pp. 3-32. http://geodesic.mathdoc.fr/item/INTD_1983_23_a0/