Gravitating semirelativistic N-boson systems

Details Gravitating semirelativistic N-boson systems Gravitating semirelativistic N-boson systems

2006-02-25

arxiv.org/abs/math-ph/0602059v2

J.Phys. A39 (2006) 11531-11540

Physics

Mathematical Physics

7 pages, 2 figures It is now proved that the reduced Hamiltonian is bounded below by the simple N/2 Hamiltonian

Scientific paper

10.1088/0305-4470/39/37/013

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=iv/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.

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