马西森的螺旋运动揭开了神秘面纱
Mathisson's helical motions demystified
摘要：
在广义相对论中，自旋测试粒子的运动由Mathisson-Papapetrou-Dixon方程描述，该方程在自旋补充条件下是待定的，后者至今仍是一个悬而未决的问题。Mathisson-Pirani（MP）条件被认为会导致相当神秘的螺旋运动，这些运动被认为是非物理的，因此被抛弃。我们表明，这些评估是没有根据的，源于一个微妙的（但至关重要的）误解。我们讨论了螺旋运动的运动学解释，并通过具有电磁模拟的隐藏动量的概念来动态地解释它们。我们还表明，与以前的索赔，螺旋运动的频率正好与电子的狄拉克方程的zitterbewegung频率相一致。
英文摘要：
The motion of spinning test particles in general relativity is described by Mathisson-Papapetrou-Dixon equations, which are undetermined up to a spin supplementary condition, the latter being today still an open question. The Mathisson-Pirani (MP) condition is known to lead to rather mysterious helical motions which have been deemed unphysical, and for this reason discarded. We show that these assessments are unfounded and originate from a subtle (but crucial) misconception. We discuss the kinematical explanation of the helical motions, and dynamically interpret them through the concept of hidden momentum, which has an electromagnetic analogue. We also show that, contrary to previous claims, the frequency of the helical motions coincides exactly with the zitterbewegung frequency of the Dirac equation for the electron.
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