  An important and well established area of quantum optics is the theory of
Markovian stochastic Schr\"odinger equations (or by another name quantum
trajectory theory). Recently stochastic Schr\"odinger equations have been
developed for non-Markovian systems. In this paper we extend the current known
stochastic Schr\"odinger equations for non-Markovian systems to include the
position unraveling. We also discuss and illustrate that this stochastic
Schr\"odinger equation can have an interpretation under both the orthodox and
the de Broglie-Bohm hidden variable interpretation of quantum mechanics. We
conclude that only the de Broglie-Bohm hidden variable theory provides a
continuous-in-time interpretation of the non-Markovian stochastic Schr\"odinger
equation.
