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Teoreticheskaya i Matematicheskaya Fizika, 1971, Volume 6, Number 2, Pages 225–229 (Mi tmf3419)  

Estimate of the perturbation of the eigenvalues of a two-particle Schrödinger operator with a hard-core potential

A. M. Pyzh'yanov
References:
Abstract: 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 $|x|<a$, $a>0$, $V_M(x)=\min_x\{M,V(x)\}$, and $M$ is a sufficiently large positive number.
Received: 13.05.1970
English version:
Theoretical and Mathematical Physics, 1971, Volume 6, Issue 2, Pages 165–168
DOI: https://doi.org/10.1007/BF01036578
Bibliographic databases:
Language: Russian
Citation: A. M. Pyzh'yanov, “Estimate of the perturbation of the eigenvalues of a two-particle Schrödinger operator with a hard-core potential”, TMF, 6:2 (1971), 225–229; Theoret. and Math. Phys., 6:2 (1971), 165–168
Citation in format AMSBIB
\Bibitem{Pyz71}
\by A.~M.~Pyzh'yanov
\paper Estimate of~the~perturbation of~the~eigenvalues of~a~two-particle Schr\"{o}dinger operator with a~hard-core potential
\jour TMF
\yr 1971
\vol 6
\issue 2
\pages 225--229
\mathnet{http://mi.mathnet.ru/tmf3419}
\zmath{https://zbmath.org/?q=an:0205.14601}
\transl
\jour Theoret. and Math. Phys.
\yr 1971
\vol 6
\issue 2
\pages 165--168
\crossref{https://doi.org/10.1007/BF01036578}
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