Geodesic
On an estimate of the number of points of the negative spectrum of the Schrödinger operator
Sbornik. Mathematics, Tome 62 (1989) no. 2, pp. 551-566 
Yu. V. Egorov; V. A. Kondrat'ev. On an estimate of the number of points of the negative spectrum of the Schrödinger operator. Sbornik. Mathematics, Tome 62 (1989) no. 2, pp. 551-566. http://geodesic.mathdoc.fr/item/SM_1989_62_2_a13/
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     title = {On an estimate of the number of points of the negative spectrum of the {Schr\"odinger} operator},
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     url = {http://geodesic.mathdoc.fr/item/SM_1989_62_2_a13/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Conditions are obtained on the potential $V$ of the Schrödinger operator $-\Delta-V(x)$ under which the negative spectrum of this operator consists of no more than $N$ eigenvalues. In many cases these conditions are sharp. All proofs are presented in their entirety and are completely elementary. Bibliography: 8 titles.

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[2] Fefferman Ch., “The uncertainty principle”, Bull. AMS., 9:2 (1983), 1–78 | DOI | MR

[3] Kerman R., Sawyer G., “Weighted norm inequalities for potentials with applications to Schrödinger operators, Fourier transforms, and Carleson measures”, Bull. Ams., 12:1 (1985), 112–116 | DOI | MR | Zbl

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[5] Berezin F. A., Shubin M. A., Uravnenie Shredingera, Izd-vo MGU, M., 1983 | MR

[6] Mikhlin S. G., Lineinye uravneniya v chastnykh proizvodnykh, Vysshaya shkola, M., 1977 | MR

[7] Mazya V. G., “K teorii mnogomernogo operatora Shredingera”, Izv. AN SSSR. Ser. matem., 28 (1964), 1145–1172

[8] Birman M. Sh., “O spektre singulyarnykh granichnykh zadach”, Matem. sb., 55(97) (1961), 125–174 | MR | Zbl