Relativistic wave equation for a massive charged particle with arbitrary spin
Relativistic wave equation for a massive charged particle with arbitrary spin
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DOI：
10.1140/epjp/i2017-11460-6
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发表时间：
2017-04
期刊：
影响因子：
--
通讯作者：
E. Marsch
中科院分区：
文献类型：
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作者：
E. Marsch
本文提出了一个相对论性的二阶微分波动方程，它描述了具有任意自旋的大质量带电粒子。因此，我们利用手征Pauli-Lubaiski算子的帮助下，我们得到两个单独的波动方程，包括电磁场。它们与左右手征旋量有关，两者都是一般自旋的（2s+ 1）多重态。我们导出了相应的洛伦兹不变拉格朗日量，并给出了粒子和反粒子的相关旋量本征函数。
In this paper we present a relativistic second-order differential wave equation for a charged massive particle that may have arbitrary spin. Thereby we make use of the chiral Pauli-Lubański operator by help of which we obtain two separate wave equations including the electromagnetic field. They are associated with right- and left-chiral spinors, both of which are (2s+ 1)-multiplets for a general spin. We derive the corresponding Lorentz-invariant Lagrangian, and present the related spinorial eigen-functions for particles and anti-particles.