Movimento Browniano quântico e não-comutatividade em um modelo análogo com condensado de Bose-Einstein.

Abstract

The Robert Brown (1828) observations about pollen grains random movement marked the beginning of the currently phenomenon called by Brownian Motion which to referyourself random displacement a particle perform in a surrounding fluid medium. The disorderly movimento of the Brownian particle is consequences their constant collisions with the molecules or atoms of the medium. There is also the Quantum Brownian Motion of a particle where the stochastic movement is motivated by the quantum vacuum field fluctuations. In the present work we study the quantum Brownian motion of a particle in an conformal expanding Bose-Einstein condensate Friedmann-Robertson-Walker considering noncommutative corrections. The noncommutativity effects on velocity dispersion were investigated and showed different types of influence, but in all cases despite the differences noncommutative corrections had a similar characteristic: they approach a constant value in the long time regime.