arXiv 0906.51422009-06-28quant-phgr-qc

理想反射边界附近布朗运动中探针粒子的扩散效应

Smearing effect due to the spread of a probe-particle on the Brownian motion near a perfectly reflecting boundary

Masafumi Seriu, Chun-Hsien Wu

备注：: 8 pages
发表信息：: Phys.Rev.A80:052101,2009
DOI：: 10.1103/PhysRevA.80.052101

摘要：

通过引入时间方向上的带电波包分布描述的探针，研究了由理想反射板约束的半空间中电磁真空的量子涨落。探针的波包分布使人们能够研究由探针粒子的量子性质引起的测量真空涨落的拖尾效应。结果表明，探测粒子的波包传播显着影响所测量的速度分散的探针。特别是，它的$z$分量，$ < \D v_{z}^{2}>$，在波包情况下的渐近晚时行为是完全不同的测试点粒子的情况下（$z$是垂直于板的坐标）。波包的结果是后期的$<\D v_{z}^{2} > \sim 1/\t^2$（$\t$是测量时间），而不是报告的点粒子探针的后期行为$<\D v_{z}^{2} > \sim 1/z^2$。这一结果对进一步研究真空涨落的测量具有重要意义。

英文摘要：

Quantum fluctuations of electromagnetic vacuum are investigated in a half-space bounded by a perfectly reflecting plate by introducing a probe described by a charged wave-packet distribution in time-direction. The wave-packet distribution of the probe enables one to investigate the smearing effect upon the measured vacuum fluctuations caused by the quantum nature of the probe particle. It is shown that the wave-packet spread of the probe particle significantly influences the measured velocity dispersion of the probe. In particular, the asymptotic late-time behavior of its $z$-component, $ < \D v_{z}^{2}>$, for the wave-packet case is quite different from the test point-particle case ($z$ is the coordinate normal to the plate). The result for the wave-packet is $<\D v_{z}^{2} > \sim 1/\t^2$ in the late time ($\t$ is the measuring time), in stead of the reported late-time behavior $<\D v_{z}^{2} > \sim 1/z^2$ for a point-particle probe. This result can be quite significant for further investigations on the measurement of vacuum fluctuations.

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摘要：

英文摘要：

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