Quantum stochastic motion in complex space

We show that a quantum system may be associated with a backward stochastic process in complex configuration space when the so-called weak value of the position operator is interpreted as a conditional expectation value. The quantum-mechanical expectation values of the position, momentum, angular momentum, and energy are shown to be the weighted averages of the corresponding quantities for the stochastic process. Moreover, the stochastic trajectory is shown to reduce to the correct classical trajectory in the Limit where the de Broglie wavelength vanishes. [S1050-2947(98)03003-0].