超复数Dirac方程与非保守电荷电动力学
Hypercomplex Dirac Equation and Electrodynamics of Non-Conserved Charges
摘要：
证明了超复Dirac方程描述了连通场系统：4-标量、4-伪标量、4-向量、4-伪向量和反对称4-张量二阶场。如果假设质量为零，则系统分为两个子系统。包含张量场、标量场和伪标量场的方程与由标量场和伪标量场补充的麦克斯韦方程组相一致。这个系统描述了非保守电荷的电动力学。标量场和赝标量场仅由非守恒电荷--电和假想磁--产生。这些场对带电粒子的影响是非常不寻常的-它导致它们的静止质量发生变化。这使我们能够重新审视维格纳悖论和质量重整化机制。
英文摘要：
It is shown that the hypercomplex Dirac equation describes the system of connected fields: 4-scalar, 4-pseudoscalar, 4-vector, 4-pseudo-vector and antisymmetric 4-tensor second rank field. If mass is assumed to be zero this system splits into two subsystems. Equations containing tensor, scalar and pseudoscalar fields coincide with Maxwell equations complemented by scalar and pseudoscalar fields. This system describes the electrodynamics of non-conserved charges. The scalar and pseudoscalar fields are generated only by the non-conserved charges - electric and hypothetical magnetic. The influence of these fields on the charged particles is very unusual - it causes a change of their rest mass. This allows us to give a new look at the Wigner paradox and mechanism of mass renormalization.
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