Gravitating semirelativistic N-boson systems
Mathematical Physics
2009-11-11 v2 Astrophysics
High Energy Physics - Phenomenology
High Energy Physics - Theory
math.MP
Abstract
Analytic energy bounds for N-boson systems governed by semirelativistic Hamiltonians of the form H=\sum_{i=1}^N(p_i^2 + m^2)^{1/2} - sum_{1=i<j}^N v/r_{ij}, with v>0, are derived by use of Jacobi relative coordinates. For gravity v=c/N, these bounds are substantially tighter than earlier bounds and they are shown to coincide with known results in the nonrelativistic limit.
Cite
@article{arxiv.math-ph/0602059,
title = {Gravitating semirelativistic N-boson systems},
author = {Richard L. Hall and Wolfgang Lucha},
journal= {arXiv preprint arXiv:math-ph/0602059},
year = {2009}
}
Comments
7 pages, 2 figures It is now proved that the reduced Hamiltonian is bounded below by the simple N/2 Hamiltonian