Geodesic
Scattering problem for the Schr\"odinger equation with a step-like potential
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 35 (2006) no. 1, pp. 89-97.

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We investigate the scattering problem for the Schrödinger operator with a non-local perturbed step potential. The uniqueness of the inverse problem is proved. 
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N. I. Pletnikova. Scattering problem for the Schr\"odinger equation with a step-like potential. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 35 (2006) no. 1, pp. 89-97. http://geodesic.mathdoc.fr/item/IIMI_2006_35_1_a5/

[1] Demkov Yu. N., Ostrovskii V. N., Metod potentsialov nulevogo radiusa v atomnoi fizike, Izd-vo Leningr. un-ta, L., 1975, 240 pp.

[2] Chuburin Yu. P., “Ob operatore Shredingera s malym potentsialom tipa vozmuschennoi stupenki”, Teor. i mat. fizika, 120:2 (1999), 277–290 | MR | Zbl

[3] Faddeev L. D., Yakubovskii O. A., Lektsii po kvantovoi mekhanike dlya studentov-matematikov, Izd-vo RKhD, M.–Izhevsk, 2001, 256 pp.

[4] Landau L. D., Lifshits E. M., Kvantovaya mekhanika. Nerelyativistskaya teoriya, Nauka, M., 1963, 704 pp. | MR

[5] Smetanina M. S., Chuburin Yu. P., “Ob uravnenii Shredingera dlya kristallicheskoi plenki s nelokalnym potentsialom”, Vestn. Udm. un-ta. Ser. Matematika, 2003, no. 1, 19–30

[6] Rid M., Saimon B., Metody sovremennoi matematicheskoi fiziki, v. 3, Teoriya rasseyaniya, Mir, M., 1982, 448 pp. | MR

[7] Vladimirov V. S., Uravneniya matematicheskoi fiziki, Nauka, M., 1967, 436 pp. | MR

[8] Gokhberg I. Ts., Krupnik N. Ya., Vvedenie v teoriyu odnomernykh singulyarnykh integralnykh operatorov, Izd-vo Shtiintsa, Kishinev, 1973, 428 pp. | MR