Abstract
In a previous paper the two-particle distribution function and one-particle density matrix for the quantum many-body system with the 1/r 2 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.
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Forrester, P.J. Recurrence equations for the computation of correlations in the 1/r2 quantum many-body system. J Stat Phys 72, 39–50 (1993). https://doi.org/10.1007/BF01048039
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DOI: https://doi.org/10.1007/BF01048039