  Within the framework of stochastic Schroedinger equations, we show that the
correspondence between statevector equations and ensemble equations is
infinitely many to one, and we discuss the consequences. We also generalize the
results of [Phys. Lett. A 224, p. 25 (1996)] to the case of more general
complex Gaussian noises and analyze the two important cases of purely real and
purely imaginary stochastic processes.
