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

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

1996-09-02

arxiv.org/abs/hep-th/9609025v2

Phys.Lett. A230 (1997) 139-143

Physics

High Energy Physics

High Energy Physics - Theory

Typos corrected. Note added on ODLRO. Version to appear in Phys Lett A

Scientific paper

10.1016/S0375-9601(97)00233-8

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.

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