  We present an exact closed-form expression for the propagator of the Calogero
model, i.e., for the integral kernel of the time evolution operator of the
quantum many-body system on the real line with an external harmonic potential
and inverse-square two-body interactions. This expression is obtained by
combining two results: first, a simple formula relating this propagator to the
eigenfunctions of the Calogero model without harmonic potential and second, a
formula for these eigenfunctions as finite sums of products of polynomial
two-body functions.
