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Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 162, Number 3, Pages 416–421
DOI: https://doi.org/10.4213/tmf6479 (Mi tmf6479) 		 
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
Full-text PDF (343 kB) Citations (1)
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DOI: https://doi.org/10.4213/tmf6479
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
English version:
Theoretical and Mathematical Physics, 2010, Volume 162, Issue 3, Pages 347–351
DOI: https://doi.org/10.1007/s11232-010-0027-1
Bibliographic databases:
Language: Russian
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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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:38
    First page:13
     
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