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
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.