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

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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

- | r_{i} - r_{j} |^{- 1}

$-|\mathbf r_i-\mathbf r_j |^{-1}$ . The relative error in the determination of the smallest eigenvalue of the antisymmetric state of this system is reduced to

\pm 0, 16

$\pm0{,}16$ .

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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https://www.mathnet.ru/eng/tmf3050

https://www.mathnet.ru/eng/tmf/v35/i3/p386

Cycle of papers

Estimates of the eigenvalues of the Schrödinger equation for a system of interacting particles. I
O. Ya. Savchenko
TMF, 1978, 35:3, 386–391
Estimates of the eigenvalues of the Schrödinger equation for a system of interacting particles. II
O. Ya. Savchenko
TMF, 1978, 36:1, 136–140

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Full-text PDF :	116
References:	54
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