Geodesic
Two-dimensional magnetic Schrodinger operator with a periodic exterior field
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 1 (2006), pp. 77-82 
Yu. P. Chuburin. Two-dimensional magnetic Schrodinger operator with a periodic exterior field. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 1 (2006), pp. 77-82. http://geodesic.mathdoc.fr/item/IIMI_2006_1_a3/
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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.

[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