基于压缩光的相对论速度附加定律的证明
Demonstrating Additional Law of Relativistic Velocities based on Squeezed Light
摘要:
狭义相对论是现代物理学许多分支的基础,其理论结果远远超出我们的日常经验,在运动学实验中很难实现。然而,它的结果可以证明,利用方便的替代品,即压缩光在本文中。压缩光场在量子光学中具有重要的意义,压缩光场的变换可以看作是SU(1; 1)的相干态。本文在一定条件下建立了压缩算符与Lorentz boost之间的联系。进一步推导出相对论速度的附加定律和维格纳旋转角。
英文摘要:
Special relativity is foundation of many branches of modern physics, of which theoretical results are far beyond our daily experience and hard to realized in kinematic experiments. However, its outcomes could be demonstrated by making use of convenient substitute, i.e. squeezed light in present paper. Squeezed light is very important in the field of quantum optics and the corresponding transformation can be regarded as the coherent state of SU(1; 1). In this paper, the connection between the squeezed operator and Lorentz boost is built under certain conditions. Furthermore, the additional law of relativistic velocities and the angle of Wigner rotation are deduced as well.
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