Lorentz Invariance and Brownian Motion of Test Particles with Constant Classical Velocity in Electromagnetic Vacuum
ZHANG Jia-Lin, YU Hong-Wei
Department of Physics and Institute of Physics, Hunan Normal University, Changsha 410081
Lorentz Invariance and Brownian Motion of Test Particles with Constant Classical Velocity in Electromagnetic Vacuum
ZHANG Jia-Lin;YU Hong-Wei
Department of Physics and Institute of Physics, Hunan Normal University, Changsha 410081
关键词 ：
04.62.+v ,
04.20.Gz ,
12.20.Ds ,
05.40.Jc
Abstract ： We show that the velocity and position dispersions of a test particle with a nonzero constant classical velocity undergoing Brownian motion caused by electromagnetic vacuum fluctuations in a space with plane boundaries can be obtained from those of the static case by Lorentz transformation. We explicitly derive the Lorentz transformations relating the dispersions of the two cases and then apply them to the case of the Brownian motion of a test particle with a constant classical velocity parallel to the boundary between two conducting planes. Our results show that the influence of a nonzero initial velocity is negligible for nonrelativistic test particles.
Key words ：
04.62.+v
04.20.Gz
12.20.Ds
05.40.Jc
出版日期: 2005-12-01
:
04.62.+v
(Quantum fields in curved spacetime)
04.20.Gz
(Spacetime topology, causal structure, spinor structure)
12.20.Ds
(Specific calculations)
05.40.Jc
(Brownian motion)
引用本文:
ZHANG Jia-Lin;YU Hong-Wei. Lorentz Invariance and Brownian Motion of Test Particles with Constant Classical Velocity in Electromagnetic Vacuum[J]. 中国物理快报, 2005, 22(12): 3017-3020.
链接本文:
https://cpl.iphy.ac.cn/CN/
或
https://cpl.iphy.ac.cn/CN/Y2005/V22/I12/3017
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2005, Vol. 22 
