Forrester, P.J. J Stat Phys (1993) 72: 39. doi:10.1007/BF01048039
In a previous paper the two-particle distribution function and one-particle density matrix for the quantum many-body system with the 1/r2 pair potential have been expressed as limiting cases of Selberg correlation integrals. Recurrence equations are derived which allow rapid evaluation of these multidimensional integrals. The exact results for the two-particle distribution are compared with the harmonic approximation.
Selberg integralscorrelation functionssolvable models1/r2 quantum system