分裂四元数分析和(2 + 1)-电动力学

Proceedings of RDP online workshop "Recent Advances in Mathematical Physics" — PoS(Regio2020) Pub Date : 1900-01-01 DOI:10.22323/1.394.0007

M. Gogberashvili

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引用次数: 5

摘要

证明了对于分裂四元数的不变构造，解析性条件等价于四元数旋量和向量的微分方程组。假设分裂四元数在(2+2)空间的额外类时坐标下的导数产生三元性(超对称)旋转，将解析方程简化为三维闵可夫斯基时空中的精确狄拉克-麦克斯韦方程组。

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Split-Quaternion Analyticity and (2 + 1)-Electrodynamics

It is shown that the analyticity condition, applying to the invariant construction of split quaternions, is equivalent to some system of diﬀerential equations for quaternionic spinors and vectors. Assuming that the derivatives by extra time-like coordinate of (2+2)-space of split quaternions generate triality (supersymmetric)rotations, the analyticity equations is reducedto the exact Dirac-Maxwell system in 3-dimensional Minkowski space-time.

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Proceedings of RDP online workshop "Recent Advances in Mathematical Physics" — PoS(Regio2020)

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