Geodesic
On an estimate of the number of points of the negative spectrum of the Schr\"odinger operator
Sbornik. Mathematics, Tome 62 (1989) no. 2, pp. 551-566

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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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     author = {Yu. V. Egorov and V. A. Kondrat'ev},
     title = {On an estimate of the number of points of the negative spectrum of the {Schr\"odinger} operator},
     journal = {Sbornik. Mathematics},
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     volume = {62},
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     year = {1989},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1989_62_2_a13/}
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Yu. V. Egorov; V. A. Kondrat'ev. On an estimate of the number of points of the negative spectrum of the Schr\"odinger operator. Sbornik. Mathematics, Tome 62 (1989) no. 2, pp. 551-566. http://geodesic.mathdoc.fr/item/SM_1989_62_2_a13/