论文标题

在振荡腔中创建粒子的离散光谱中的相对论带

Relativistic bands in the discrete spectrum of created particles in an oscillating cavity

论文作者

Alves, Danilo T., Granhen, Edney R., Alves, João Paulo da S., Lima, Williams A.

论文摘要

我们研究了一维共振腔的动力学casimir效应,并带有一个振荡的镜子。具体而言,我们研究了镜像的振荡频率$ω_0$的频率区域中创建粒子的离散光谱。我们将调查重点放在等于$ 2L_0/c $的振荡时间上,其中$ l_0 $是腔的初始和最终长度,而$ c $是光速。对于此振荡持续时间,在被移动的镜子扰动后,一种场模式再也不会符合此镜子的运动,这使我们能够排除这种重新交互对粒子创建过程的影响。然后,我们将粒子创建的演变描述为频率高于$ω_0$,仅是镜子速度相对论方面的函数。换句话说,我们分析了相对论频段在离散粒子中的形成。

We investigate the dynamical Casimir effect for a one-dimensional resonant cavity, with one oscillating mirror. Specifically, we study the discrete spectrum of created particles in a region of frequencies above the oscillation frequency $ω_0$ of the mirror. We focus our investigation on an oscillation time equal to $2L_0/c$, where $L_0$ is the initial and final length of the cavity, and $c$ is the speed of light. For this oscillation duration, a field mode, after perturbed by the moving mirror, never meets this mirror in motion again, which allows us to exclude this effect of re-interaction on the particle creation process. Then, we describe the evolution of the particle creation with frequencies above $ω_0$ only as a function of the relativistic aspect of the mirror's velocity. In other words, we analyze the formation of relativistic bands in a discrete spectrum of created particles.

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