Two-dimensional magnetic Schrodinger operator with a periodic exterior field
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 35 (2006) no. 1, pp. 77-82.

Voir la notice de l'article provenant de la source Math-Net.Ru

We consider the two-dimensional magnetic Schrodinger operator with a periodic potential. The analitic properties of eigenvalues of this operator as functions in quasimomentum are investigated.
@article{IIMI_2006_35_1_a3,
     author = {Yu. P. Chuburin},
     title = {Two-dimensional magnetic {Schrodinger} operator with a periodic exterior field},
     journal = {Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta},
     pages = {77--82},
     publisher = {mathdoc},
     volume = {35},
     number = {1},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IIMI_2006_35_1_a3/}
}
TY  - JOUR
AU  - Yu. P. Chuburin
TI  - Two-dimensional magnetic Schrodinger operator with a periodic exterior field
JO  - Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta
PY  - 2006
SP  - 77
EP  - 82
VL  - 35
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IIMI_2006_35_1_a3/
LA  - ru
ID  - IIMI_2006_35_1_a3
ER  - 
%0 Journal Article
%A Yu. P. Chuburin
%T Two-dimensional magnetic Schrodinger operator with a periodic exterior field
%J Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta
%D 2006
%P 77-82
%V 35
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IIMI_2006_35_1_a3/
%G ru
%F IIMI_2006_35_1_a3
Yu. P. Chuburin. Two-dimensional magnetic Schrodinger operator with a periodic exterior field. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 35 (2006) no. 1, pp. 77-82. http://geodesic.mathdoc.fr/item/IIMI_2006_35_1_a3/

[1] Chuburin Yu. P., “O spektre i sobstvennykh funktsiyakh dvumernogo operatora Shredingera s magnitnym polem”, Teor. i matem. fizika, 134:2 (2003), 243–253 | MR | Zbl

[2] Tsikon Kh., Freze R., Kirsh V., Saimon B., Operatory Shredingera s prilozheniyami k kvantovoi mekhanike i globalnoi geometrii, Mir, M., 1990, 408 pp. | MR

[3] Dubrovin B. A., Novikov S. P., “Osnovnye sostoyaniya dvumernogo elektrona v periodicheskom magnitnom pole”, ZhETF, 79:3 (1980), 1006–1016 | MR

[4] Nikiforov A. F., Uvarov V. B., Spetsialnye funktsii matematicheskoi fiziki, Nauka, M., 1984, 344 pp. | MR

[5] Rid M., Saimon B., Metody sovremennoi matematicheskoi fiziki, v. 1, Funktsionalnyi analiz, Mir, M., 1977, 360 pp. | MR

[6] Chuburin Yu. P., “O kratnosti rezonansov vozmuschennogo periodicheskogo operatora Shredingera”, Teor. i matem. fizika, 116:1 (1998), 134–145 | MR | Zbl

[7] Shabat B. V., Vvedenie v kompleksnyi analiz, v. II, Nauka, M., 1976, 400 pp. | MR

[8] Rid M., Saimon B., Metody sovremennoi matematicheskoi fiziki, v. 4, Analiz operatorov, Mir, M., 1982, 432 pp. | MR