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TMF, 2010, Volume 162, Number 3, Pages 416–421 (Mi tmf6479)  

Energy bounds for a system of gravitating bosons

T. K. Rebane

Fock Institute of Physics, St.~Petersburg State University, St.~Petersburg, Russia

Abstract: 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, boson, gravitation

DOI: https://doi.org/10.4213/tmf6479

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English version:
Theoretical and Mathematical Physics, 2010, 162:3, 347–351

Bibliographic databases:

Received: 06.07.2009

Citation: T. K. Rebane, “Energy bounds for a system of gravitating bosons”, TMF, 162:3 (2010), 416–421; Theoret. and Math. Phys., 162:3 (2010), 347–351

Citation in format AMSBIB
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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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