ONE-PARTICLE REDUCED DENSITY MATRIX OF IMPENETRABLE BOSONS IN ONE DIMENSION AT ZERO TEMPERATURE

We report the large-r and small-r expansions of the one-particle reduced density m'atrix ρ(r) of a system of impenetrable bosons in one dimension at zero temperature. These expansions were derived from an exact calculation of ρ(r) to be reported elsewhere. We find that the large-r expansion of ρ(r) contains oscillatory terms which we relate to the analytic structure of the momentum density function n(k). © 1978 The American Physical Society.