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arXiv · 1606.07416

Noncommutative Brownian motion

Willien O. Santos·Guilherme M. A. Almeida·Andre M. C. Souza
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Abstract

We investigate the classical Brownian motion of a particle in a two-dimensional noncommutative (NC) space. Using the standard NC algebra embodied by the sympletic Weyl-Moyal formalism we find that noncommutativity induces a non-vanishing 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.

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Willien O. Santos, Guilherme M. A. Almeida, Andre M. C. Souza. 2016-06-23. Noncommutative Brownian motion. https://doi.org/10.1142/s0217751x17501469

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