陈-西蒙斯黑洞附近的Zitterbewegung
Zitterbewegung in the vicinity of the Chern-Simons black hole
摘要：
研究了四维和五维空间中具有挠率的Chern-Simons黑洞附近的zitterbewegung（ZB）效应.度规采用传统的球对称形式。我们在薛定谔表象的框架内考虑电流的方程。计算了不同空间维数下电流密度随时间的变化关系。特别是，它示出，随着空间维度的增加，颤抖运动的效果定性地一致。随着维度的增加，这种效应的幅度减小。此外，我们调查的径向坐标上的电流的依赖性为不同的空间维度。我们得到，当远离事件视界时，电流ZB增加。
英文摘要：
We consider zitterbewegung (ZB) effect in four and five-dimensional space in the vicinity of the Chern-Simons black hole with torsion. The metric is taken in the traditional spherically symmetric form. We consider the equation for the current in the framework of the Schrödinger representation. Dependences of the electric current density on time is calculated for different dimension of space. In particular, it is shown that, with an increase in the space dimension, the effect of trembling motion qualitatively coincides. As the dimension increases, the amplitude of this effect decreases. Also, we investigate the dependence of the current on the radial coordinate for different dimensions of space. We obtain that when away from the event horizon the current ZB increases.
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