Noncommutative Brownian motion

被引：5

作者：

Santos, Willien O. ^{[1
]}

Almeida, Guilherme M. A. ^{[2
,3
]}

Souza, Andre M. C. ^{[4
]}

机构：

[1] Univ Fed Reconcavo Bahia, Colegiado Fis, BR-45300000 Amargosa, BA, Brazil

[2] Univ Fed Alagoas, Inst Fis, BR-57072900 Maceio, AL, Brazil

[3] Univ Fed Minas Gerais, Dept Fis, Caixa Postal 701, BR-30161970 Belo Horizonte, MG, Brazil

[4] Univ Fed Sergipe, Dept Fis, BR-49100000 Sao Cristovao, SE, Brazil

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2017年 / 32卷 / 23-24期

关键词：

Noncommutative geometry; classical mechanics; Brownian motion; INSTANTANEOUS VELOCITY; HYDROGEN-ATOM; GEOMETRY; GRAVITY;

D O I：

10.1142/S0217751X17501469

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

We investigate the classical Brownian motion of a particle in a two-dimensional non commutative (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.

引用

页数：9

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