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Teoreticheskaya i Matematicheskaya Fizika, 1978, Volume 35, Number 3, Pages 386–391 (Mi tmf3050)  
Estimates of the eigenvalues of the Schrödinger equation for a system of interacting particles. I

O. Ya. Savchenko
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Abstract: Two-sided variational estimates are obtained for some eigenvalues of a system of particles bound by a monotonic potential $-|\mathbf r_i-\mathbf r_j |^{-1}$. The relative error in the determination of the smallest eigenvalue of the antisymmetric state of this system is reduced to $\pm0{,}16$.
Received: 22.12.1976
Revised: 14.11.1977
English version:
Theoretical and Mathematical Physics, 1978, Volume 35, Issue 3, Pages 530–534
DOI: https://doi.org/10.1007/BF01036451
Language: Russian
Citation: O. Ya. Savchenko, “Estimates of the eigenvalues of the Schrödinger equation for a system of interacting particles. I”, TMF, 35:3 (1978), 386–391; Theoret. and Math. Phys., 35:3 (1978), 530–534
Citation in format AMSBIB
\Bibitem{Sav78}
\by O.~Ya.~Savchenko
\paper Estimates of the eigenvalues of the Schr\"odinger equation for a~system of interacting particles.~I
\jour TMF
\yr 1978
\vol 35
\issue 3
\pages 386--391
\mathnet{http://mi.mathnet.ru/tmf3050}
\transl
\jour Theoret. and Math. Phys.
\yr 1978
\vol 35
\issue 3
\pages 530--534
\crossref{https://doi.org/10.1007/BF01036451}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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