  A unitary transformation which relates a many-body quantum mechanics with N=2
Schrodinger supersymmetry to a set of decoupled superparticles is proposed. The
simplification in dynamics is achieved at a price of a nonlocal realization of
the full N=2 Schrodinger superalgebra in a Hilbert space. The transformation is
shown to be universal and applicable to conformal many-body models confined in
a harmonic trap.
