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 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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.
@article{TMF_1974_18_1_a7,
     author = {V. V. Dyakin},
     title = {Properties of the eigenfunctions of {a~Schr\"odinger} operator with periodic porential in the presence of a~magnetic field},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {70--77},
     year = {1974},
     volume = {18},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1974_18_1_a7/}
}
TY  - JOUR
AU  - V. V. Dyakin
TI  - Properties of the eigenfunctions of a Schrödinger operator with periodic porential in the presence of a magnetic field
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1974
SP  - 70
EP  - 77
VL  - 18
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1974_18_1_a7/
LA  - ru
ID  - TMF_1974_18_1_a7
ER  - 
%0 Journal Article
%A V. V. Dyakin
%T Properties of the eigenfunctions of a Schrödinger operator with periodic porential in the presence of a magnetic field
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1974
%P 70-77
%V 18
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1974_18_1_a7/
%G ru
%F TMF_1974_18_1_a7
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/

[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