Abstract:
An expression is obtained for the ground-state energy of a system of N bosons interacting
through gravitational forces. In the limit N→∞ the diagonal part is the principal part in
the operator ψ(x), and it determines the principal term of the expansion of EN in the limit N→∞.
Citation:
L. G. Zastavenko, “Energy of a system of many bosons coupled by gravitational forces”, TMF, 15:3 (1973), 307–310; Theoret. and Math. Phys., 15:3 (1973), 540–524
\Bibitem{Zas73}
\by L.~G.~Zastavenko
\paper Energy of a system of many bosons coupled by gravitational forces
\jour TMF
\yr 1973
\vol 15
\issue 3
\pages 307--310
\mathnet{http://mi.mathnet.ru/tmf3669}
\transl
\jour Theoret. and Math. Phys.
\yr 1973
\vol 15
\issue 3
\pages 540--524
\crossref{https://doi.org/10.1007/BF01094558}
Linking options:
https://www.mathnet.ru/eng/tmf3669
https://www.mathnet.ru/eng/tmf/v15/i3/p307
This publication is cited in the following 2 articles:
O. Ya. Savchenko, “Estimates of the eigenvalues of the Schrödinger equation for a system of interacting particles. I”, Theoret. and Math. Phys., 35:3 (1978), 530–534
I. V. Simenog, “Asymptotically exact solutions for Fermi systems”, Theoret. and Math. Phys., 20:2 (1974), 791–801