Noncommutative Brownian motion
Willien O. Santos, G. M. A. Almeida, André M. C. Souza
We investigate the classical Brownian motion of a particle in a two-dimensional noncommutative (NC) space. Using the standard NC algebra embodied by the symplectic Weyl–Moyal formalism we find that noncommutativity induces a nonvanishing correlation between both coordinates at different times. The effect stands out as a signature of spatial noncommutativity and thus could offer a way to experimentally detect the phenomena. We further discuss some limiting scenarios and the trade-off between the scale imposed by the NC structure and the parameters of the Brownian motion itself.
arXiv:1606.07416•International Journal of Modern Physics A•Aug 22, 2017•6 citations