We consider two-particle correlations, which appear in relativistic nuclear collisions due to the quantum statistics of identical particles, in the frame of two formalisms: wave-function and current. The first one is based on solution of the Cauchy p
roblem, whereas the second one is a so-called current parametrization of the source of secondary particles. We argue that these two parameterizations of the source coincide when the wave function at freeze-out times is put in a specific correspondence with a current. Then, the single-particle Wigner density evaluated in both approaches gives the same result.
