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Brownian Motion of a Charged Test Particle Near a Dielectric Half-space or a Perfectly Reflecting Plane

Author: FuXiangYun
Tutor: YuHongWei
School: Hunan Normal University
Course: Theoretical Physics
Keywords: Vacuum Fluctuation Brownian motion Uncertainty relation Wave packet spreads
CLC: O413.3
Type: Master's thesis
Year: 2007
Downloads: 59
Quote: 0
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Abstract


In classical physics, the vacuum is considered nothing. However, the development of quantum field theory has profoundly changed the way people vacuum. Now people no longer believe that the vacuum is nothing, but has a rich internal structure. One of the most significant features is the quantum vacuum there is always countless brief creation and annihilation of virtual particles and their mutual conversion process, there is always fluctuation in the quantum vacuum. This vacuum fluctuation will lead to many observable quantum effects, such as: the magnetic moment anomaly, the excited-state atomic spontaneous emission and Lamb mobile. A flat spacetime boundary or non-mediocre topology Minkowski space-time vacuum fluctuation effects they exhibit many novel features which Casimir effect is the most famous example. Recently, Yu Hongwei and Ford studied a total reflection plane near the vacuum electromagnetic field fluctuation. They calculated charged test particle velocity and displacement squared fluctuation, in this case due to fluctuations in the vacuum solenoid, charged test particle Brownian motion exists. Later, Yu Hongwei, Chen Jun, Zhang Jialin, Tan Meihua several other Brownian motion under special boundary conditions. These findings, we will brief exposition of the first chapter. The second chapter of a total reflection plane near the border vacuum electromagnetic fluctuations of its research nonzero constant speed movement perpendicular to the plane of the classic test of charged particles. We calculated taking into account the fluctuation of the electric field and magnetic forces charged test particle displacement and velocity squared fluctuation, and the calculated results of the analysis and discussion. The study shows that, under normal circumstances, the Fluctuations of the influence of the magnetic field and Fluctuation farms compared higher order, and therefore can be ignored. In addition, we found that when the particles along the direction of movement away from the boundary, the fluctuation of the particle in the direction perpendicular to the boundary will be weakened, and in parallel to the boundary direction Fluctuations will be strengthened. However, when the particles move in opposite directions, the particles in the vertical in boundary direction Fluctuations will be strengthened, and parallel the boundary direction Fluctuations will weaken. This study the Brownian motion of test particles in the vacuum part in the half-space filled with an isotropic medium, draw a charged test particle velocity and displacement squared fluctuations with the dielectric constant change of the law. We found that when the dielectric constant of the x ≈ 1008.1 particle in the direction perpendicular to the boundary square of velocity fluctuation value lt; Δυ_z ~ 2 gt; particles corresponding to 98% of the values ??in the vicinity of the conductor boundary. Chapter IV of this paper summarizes the work we have done, and future prospects.

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CLC: > Mathematical sciences and chemical > Physics > Theoretical Physics > Quantum theory > Quantum field theory and many-body problem (nuclear theory )
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