Geodesic
Energy of a system of many bosons coupled by gravitational forces
Teoretičeskaâ i matematičeskaâ fizika, Tome 15 (1973) no. 3, pp. 307-310 Cet article a éte moissonné depuis la source Math-Net.Ru

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An expression is obtained for the ground-state energy of a system of $N$ bosons interacting through gravitational forces. In the limit $N\to\infty$ the diagonal part is the principal part in the operator $\psi(x)$, and it determines the principal term of the expansion of $E_N$ in the limit $N\to\infty$. 
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     author = {L. G. Zastavenko},
     title = {Energy of a system of many bosons coupled by gravitational forces},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {307--310},
     year = {1973},
     volume = {15},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1973_15_3_a1/}
}
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L. G. Zastavenko. Energy of a system of many bosons coupled by gravitational forces. Teoretičeskaâ i matematičeskaâ fizika, Tome 15 (1973) no. 3, pp. 307-310. http://geodesic.mathdoc.fr/item/TMF_1973_15_3_a1/

[1] F. Calogero, C. Marchioro, J. Math. Phys., 10 (1969), 562 | DOI | MR

[2] I. M. Levy Leblond, J. Math. Phys., 10 (1969), 806 | DOI

[3] R. Ruffini, S. Bonazzola, Phys. Rev., 187 (1969), 1767 | DOI

[4] L. G. Zastavenko, Preprint P2-6910, OIYaI, 1973

[5] V. I. Simenog, Preprint ITF-72-31P, Kiev, 1972