Jae-weon Lee^a, Eok-Kyun Lee^a, Hae-Myoung Kwon^b, In-gyu Koh^b, and Yeong Deok Han^c

^a Department of Chemistry, School of Molecular Science (BK 21), Korea Advanced Institute of Science and Technology, Daejon 305-701
^b Department of Physics, Korea Advanced Institute of Science and Technology, Daejon 305-701
^c Department of Physics, Woosuk University, Wanju, Cheonbuk 565-800

The equation describing the stochastic motion of a classical particle in 1+1-dimensional space-time is connected to the Dirac equation with external gauge fields. The effects of assigning different turning probabilities to the forward and the backward moving particles in time are discussed.