Geodesic
Properties of the eigenfunctions of a Schrödinger operator with periodic porential in the presence of a magnetic field
Teoretičeskaâ i matematičeskaâ fizika, Tome 18 (1974) no. 1, pp. 70-77 
V. V. Dyakin. Properties of the eigenfunctions of a Schrödinger operator with periodic porential in the presence of a magnetic field. Teoretičeskaâ i matematičeskaâ fizika, Tome 18 (1974) no. 1, pp. 70-77. http://geodesic.mathdoc.fr/item/TMF_1974_18_1_a7/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The methods of functional analysis are used to study the properties of the eigenfunctions of a Schrödinger operator with periodic potential in the presence of a constant magnetic field. The operator is considered on functions defined in the whole of three-dimensional space.

[1] L. D. Landau, E. M. Lifshits, Kvantovaya mekhanika, chast I, GITTL, 1948 | MR

[2] H. J. Fischbeck, Phys. Stat. Sol., 38 (1970), 11 | DOI

[3] J. Zak, Phys. Rev., 134 (1964), 1602 | DOI | MR | Zbl

[4] I. M. Gelfand, G. E. Shilov, Obobschennye funktsii, vyp. 3, Fizmatgiz, 1958 | MR

[5] G. Scharf, Helv. phys. acta, 39 (1966), 556 | MR

[6] F. Riss, B. Sekefalvi-Nad, Lektsii po funktsionalnomu analizu, IL, 1957 | MR

[7] I. M. Gelfand, DAN SSSR, 73 (1950), 1117 | MR | Zbl

[8] I. M. Glazman, Pryamye metody kachestvennogo spektralnogo analiza singulyarnykh differentsialnykh operatorov, Fizmatgiz, 1963 | MR

[9] Entsiklopediya elementarnoi matematiki, t. 3, GITTL, 1952

[10] V. V. Dyakin, Dissertatsiya, Uralskii gos. un-t, Sverdlovsk, 1972