Geodesic
On the spectrum of the Schrödinger operator with large potential concentrated on a small set
Matematičeskie zametki, Tome 79 (2006) no. 5, pp. 787-790 
A. R. Bikmetov; R. R. Gadyl'shin. On the spectrum of the Schrödinger operator with large potential concentrated on a small set. Matematičeskie zametki, Tome 79 (2006) no. 5, pp. 787-790. http://geodesic.mathdoc.fr/item/MZM_2006_79_5_a16/
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     title = {On the spectrum of the {Schr\"odinger} operator with large potential concentrated on a~small set},
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     year = {2006},
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     url = {http://geodesic.mathdoc.fr/item/MZM_2006_79_5_a16/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

[1] Oleinik O. A., Iosifyan G. A., Shamaev A. S., Matematicheskie zadachi teorii silno neodnorodnykh uprugikh sred, MGU, M., 1990

[2] Oleinik O. A., Sanchez-Hubert J., Yosifian G. A., Bull. Sc. Math. Ser. 2, 115 (1991), 1–27 | Zbl

[3] Mikhailov V. P., Differentsialnye uravneniya v chastnykh proizvodnykh, Nauka, M., 1976 | MR | Zbl

[4] Kato T., Teoriya vozmuschenii lineinykh operatorov, Mir, M., 1972 | Zbl

[5] Lavrentev M. A., Shabat B. V., Metody teorii funktsii kompleksnogo peremennogo, Nauka, M., 1987 | MR

[6] Ilin A. M., Soglasovanie asimptoticheskikh razlozhenii reshenii kraevykh zadach, Nauka, M., 1989 | MR

[7] Gadylshin R. R., TMF, 132 (2002), 97–104 | MR

[8] Landau L. D., Livshits E. M., Teoreticheskaya fizika. T. 3. Kvantovaya mekhanika. Nerelyativistskaya teoriya, Nauka, M., 1989

[9] Simon B., Ann. Phys., 97 (1976), 279–288 | DOI | Zbl

[10] Klaus M., Ann. Phys., 108 (1977), 288–300 | DOI | MR | Zbl

[11] Blankenbecler R., Goldberger M. L., Simon B., Ann. Phys., 108 (1977), 69–78 | DOI | MR

[12] Klaus M., Simon B., Ann. Phys., 130 (1980), 251–281 | DOI | MR | Zbl

[13] Pelinovskii D. E., Salem K., TMF, 122 (2000), 118–128 | MR

[14] Zhevandrov P., Merzon A., “Asymptotics of eigenfunctions in shallow potential wells and related problems”, Asymptotic Methods for Wave and Quantum Problems, AMS Translations. Ser. 2. Advances in the Mathematical Sciences, ed. M. V. Karasev, AMS, 2003, 235–284 | MR | Zbl

[15] Bentosela F., Cavalcanti R. M., Exner P., Zagrebanov V. A., J. Phys. A, 32 (1999), 3029–3039 | DOI | MR | Zbl

[16] Gadylshin R. R., TMF, 138 (2004), 41–54 | MR