A Quantum Many-body Problem in Two Dimensions: Ground State
高能物理 - 理论
2016-09-06 v2 凝聚态物理
摘要
We obtain the exact ground state for the Calogero-Sutherland problem in arbitrary dimensions. In the special case of two dimensions, we show that the problem is connected to the random matrix problem for complex matrices, provided the strength of the inverse-square interaction . In the thermodynamic limit, we obtain the ground state energy and the pair-correlation function and show that in this case there is no long-range order.
引用
@article{arxiv.hep-th/9609025,
title = {A Quantum Many-body Problem in Two Dimensions: Ground State},
author = {Avinash Khare and Koushik Ray},
journal= {arXiv preprint arXiv:hep-th/9609025},
year = {2016}
}
备注
Typos corrected. Note added on ODLRO. Version to appear in Phys Lett A