Geodesic
Estimate of the perturbation of the eigenvalues of a two-particle Schrödinger operator with a hard-core potential
Teoretičeskaâ i matematičeskaâ fizika, Tome 6 (1971) no. 2, pp. 225-229 Cet article a éte moissonné depuis la source Math-Net.Ru

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An estimate is obtained for $|\lambda_i-\lambda_i^M|$, where $\lambda_i$ and $\lambda_i^M$ are, respectively, the eigenvalues of the operators $H=-\Delta+V(x)$ and $H_M=-\Delta+V_M(x)$, $x=(x_1,x_2,x_3)$, the function $V(x)$ is singular for $|x|, $a>0$, $V_M(x)=\min_x\{M,V(x)\}$, and $M$ is a sufficiently large positive number. 
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     author = {A. M. Pyzh'yanov},
     title = {Estimate of~the~perturbation of~the~eigenvalues of~a~two-particle {Schr\"odinger} operator with a~hard-core potential},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {225--229},
     year = {1971},
     volume = {6},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1971_6_2_a7/}
}
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A. M. Pyzh'yanov. Estimate of the perturbation of the eigenvalues of a two-particle Schrödinger operator with a hard-core potential. Teoretičeskaâ i matematičeskaâ fizika, Tome 6 (1971) no. 2, pp. 225-229. http://geodesic.mathdoc.fr/item/TMF_1971_6_2_a7/

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