ANALOGS BETWEEN A QUANTUM MANY-BODY PROBLEM AND THE LOG-GAS
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | IOP PUBLISHING LTD | Published : 1984
The ground state wavefunction of a t-component quantum system in one dimension interacting via the 1/r2 potential is interpreted as the Boltzmann probability factor of a t-component log-gas. This allows predictions regarding the asymptotic behaviour of the ground state correlations and density matrix to be made. Using the results of an exact calculation of a two-component log-gas, exact results are obtained for the quantum system in the case t=2.