Correlation measures of the Calogero–Sutherland model at T=0

We are exploiting the results of the exact solution for the ground state of the one-dimensional spinless quantum gas of Fermions with μ/xij2 particle–particle interaction, and analyze particle-number fluctuations for View the MathML source. These are suppressed by repulsive interaction (μ>0), enhanced by attraction (μ<0), and may therefore measure the kind and strength of correlation. Other recently proposed purely quantum-kinematical measures of the correlation strength arise from the small-separation behavior of the pair density or from the non-idempotency of the momentum distribution and its large-momenta behavior.