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- Title
Noncommutative Brownian motion.
- Authors
Santos, Willien O.; Almeida, Guilherme M. A.; Souza, Andre M. C.
- 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 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.
- Subjects
NONCOMMUTATIVE function spaces; BROWNIAN motion; PARTICLES (Nuclear physics); SYMPLECTIC spaces; PARAMETERS (Statistics)
- Publication
International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics, 2017, Vol 32, Issue 23/24, p-1
- ISSN
0217-751X
- Publication type
Article
- DOI
10.1142/S0217751X17501469