Geodesic
The one-dimensional Schrödinger equation with a quasiperiodic potential
Funkcionalʹnyj analiz i ego priloženiâ, Tome 9 (1975) no. 4, pp. 8-21 
E. I. Dinaburg; Ya. G. Sinai. The one-dimensional Schrödinger equation with a quasiperiodic potential. Funkcionalʹnyj analiz i ego priloženiâ, Tome 9 (1975) no. 4, pp. 8-21. http://geodesic.mathdoc.fr/item/FAA_1975_9_4_a1/
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[1] Bloch F., “Über die Quantenmechanik der Elektronen in Kristallgittern”, Z. Physik, 52 (1928), 555–560 | DOI

[2] Titchmarsh E., Razlozheniya po sobstvennym funktsiyam, svyazannye s differentsialnymi uravneniyami vtorogo poryadka, v. II, IL, M., 1961

[3] Dykhne A.M., “Kvaziklassicheskaya chastitsa v odnomernom periodicheskom potentsiale”, ZhETF, 40:5 (1961), 1423–1426 | MR

[4] Simonyan S.G., “Asimptotika shiriny lakun v spektre operatora Shturma–Liuvillya s periodicheskim potentsialom”, Diff. uravneniya, 6:7 (1970), 1265–4272

[5] Lazutkin V.F., Pankratova T.F., “Asimptotika shiriny lakun v spektre operatora Shturma–Liuvillya s periodicheskim potentsialom”, DAN SSSR, 215:5 (1974), 1048–1051 | MR | Zbl

[6] Arnold V.I., “Malye znamenateli i problemy ustoichivosti dvizheniya v klassicheskoi i nebesnoi mekhanike”, UMN, XVIII:6 (1963), 91–192

[7] Novikov S.P., “Periodicheskaya zadacha dlya uravneniya Kortevega–de Friza. I”, Funkts. analiz, 8:3 (1974), 54–66 | MR | Zbl

[8] Bogolyubov N.N., Mitropolskii Yu.A., Samoilenko A.M., Metod uskorennoi skhodimosti v nelineinoi mekhanike, Naukova dumka, Kiev, 1969 | MR

[9] Belaga E.G., “O privodimosti sistemy obyknovennykh differentsialnykh uravnenii v okrestnosti uslovno-periodicheskogo dvizheniya”, DAN SSSR, 143:2 (1962), 255–258 | MR | Zbl

[10] Mozer Yu., “Teoriya vozmuschenii uslovno-periodicheskikh reshenii differentsialnykh uravnenii”, Teoriya vetvleniya i nelineinye zadachi na sobstvennye znacheniya>, Mir, M., 1974, 167–180

[11] Mozer Yu., “Novyi metod postroeniya reshenii nelineinykh differentsialnykh uravnenii”, Matematika, 6:4 (1962), 3–10