General energy bounds for systems of bosons with soft cores
Mathematical Physics
2009-10-31 v1 math.MP
Spectral Theory
Quantum Physics
Abstract
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.
Keywords
Cite
@article{arxiv.math-ph/0008021,
title = {General energy bounds for systems of bosons with soft cores},
author = {Richard L. Hall},
journal= {arXiv preprint arXiv:math-ph/0008021},
year = {2009}
}