Geodesic
Energy bounds for a~system of gravitating bosons
Teoretičeskaâ i matematičeskaâ fizika, Tome 162 (2010) no. 3, pp. 416-421

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Using a method in which the wave functions need not be calculated, we calculate the lower energy bound for a system of mutually gravitating bosons with any number $n$ of particles. This method is based on using the geometric properties of triangles formed by particles. We find the limits for the coefficient $C$ in the asymptotic expression for the nonrelativistic ground-state energy of the gravitational system.
Keywords: quantum mechanics, energy bound
Mots-clés : boson, gravitation. 
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     author = {T. K. Rebane},
     title = {Energy bounds for a~system of gravitating bosons},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {416--421},
     publisher = {mathdoc},
     volume = {162},
     number = {3},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2010_162_3_a6/}
}
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T. K. Rebane. Energy bounds for a~system of gravitating bosons. Teoretičeskaâ i matematičeskaâ fizika, Tome 162 (2010) no. 3, pp. 416-421. http://geodesic.mathdoc.fr/item/TMF_2010_162_3_a6/