General energy bounds for systems of bosons with soft cores

Details General energy bounds for systems of bosons with soft cores General energy bounds for systems of bosons with soft cores

2000-08-14

arxiv.org/abs/math-ph/0008021v1

Phys. Rev. A 62, 052510 (2000)

Physics

Mathematical Physics

Scientific paper

10.1103/PhysRevA.62.052510

We study a bound system of N identical bosons interacting by model pair potentials of the form V(r) = A sgn(p)r^p + B/r^2, A > 0, B >= 0. By using a variational trial function and the `equivalent 2-body method', we find explicit upper and lower bound formulas for the N-particle ground-state energy in arbitrary spatial dimensions d > 2 for the two cases p = 2 and p = -1. It is demonstrated that the upper bound can be systematically improved with the aid of a special large-N limit in collective field theory.

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