论文标题

由于洛伦兹收缩和托马斯的相互作用而引起的托马斯进攻的非线性效应 - 托马斯旋转

Nonlinear effects in Thomas precession due to the interplay of Lorentz contraction and Thomas--Wigner rotation

论文作者

Di Lorenzo, Antonio

论文摘要

已经证明,当前与惯性框架中旋转相关的3 - vector $ \ bs {s} $不会收缩,而是朝着速度方向扩张。正确的矢量$ \ bs {t} $是个性化的。证明两个向量的运动方程式包含两个术语,即用托马斯进液标识的常见线性旋转,也取决于旋转本身的方向。

It is demonstrated that the 3--vector $\bs{S}$ currently associated to the spin in an inertial frame does not contract, but rather dilates, in the direction of the velocity. The correct vector $\bs{T}$ is individuated. The equation of motion for the two vectors is shown to contain two terms, a common linear rotation, identified with Thomas precession, and also a nonlinear rotation depending on the direction of the spin itself.

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