Abstract

Zitterbewegung of massive and massless scalar bosons and a massive Proca (spin-1) boson is analyzed. The equations describing the evolution of the velocity and position of the scalar boson in the generalized Feshbach–Villars representation and the corresponding equations for the massive Proca particle in the Sakata–Taketani representation are equivalent to each other and to the well-known equations for the Dirac particle. However, Zitterbewegung does not appear in the Foldy–Wouthuysen representation. Since the position and velocity operators in the Foldy–Wouthuysen representation and their transforms to other representations are the quantum-mechanical counterparts of the corresponding classical variables, Zitterbewegung is not observable.

中文翻译：

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玻色子的Zitterbewegung

摘要

分析了质量标量玻色子和无质量标量玻色子和Proca（spin-1）玻色子的Zitterbewegung。广义Feshbach–Villars表示中描述标量玻色子的速度和位置的演化的方程式以及Sakata–Taketani表示形式中的Proca质块的相应方程式彼此等效，并且与该方程式的著名方程式等价。狄拉克粒子。但是，Zitterbewegung不会出现在Foldy–Wouthuysen表示中。由于Foldy-Wouthuysen表示中的位置和速度算符及其到其他表示的变换是相应经典变量的量子力学对应物，因此Zitterbewegung不可观察。