标题： 二维量子多体问题：基态 显示英文标题

标题： A Quantum Many-body Problem in Two Dimensions: Ground State

摘要： 我们得到了任意维数下Calogero-Sutherland问题的精确基态。 在二维的特殊情况下，我们证明该问题与复矩阵的随机矩阵问题相关，前提是逆平方相互作用的强度$g = 2$。 在热力学极限下，我们得到了基态能量和对关联函数，并表明在这种情况下没有长程序。 显示英文摘要

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 $g = 2$. 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.