|
This article is cited in 1 scientific paper (total in 1 paper)
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.
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
Linking options:
https://www.mathnet.ru/eng/tmf6479https://doi.org/10.4213/tmf6479 https://www.mathnet.ru/eng/tmf/v162/i3/p416
|
|