From the advent of quantum mechanics, various types of stochastic-dynamical approach
to quantum mechanics have been tried. We discuss how to utilize Nelson’s stochastic quantum
mechanics to analyze the tunneling phenomena, how to derive relativistic field equations via the
Poisson process and how to describe a quantum dynamics of open systems by the use of quantum
state diffusion, or the stochastic Schrodinger equation.
http://www.iisc.ernet.in/pramana/aug2002/Qt31.pdf