相对论张量动力学的双四元数表述
Biquaternion formulation of relativistic tensor dynamics
摘要:
在本文中,我们将展示如何相对论张量动力学和相对论电动力学可以制定在一个双四元数张量语言。治疗仅限于数学物理,已知的事实,如洛伦兹力定律和拉格朗日方程提出了一个相对较新的形式主义。目标是将反对称张量动力学(例如在相对论电动力学中使用的)和对称张量动力学(例如在广义相对论的介绍中使用的)融合成一个单一的形式:一种特殊的双四元数张量演算。
英文摘要:
In this paper we show how relativistic tensor dynamics and relativistic electrodynamics can be formulated in a biquaternion tensor language. The treatment is restricted to mathematical physics, known facts as the Lorentz Force Law and the Lagrange Equation are presented in a relatively new formalism. The goal is to fuse anti-symmetric tensor dynamics, as used for example in relativistic electrodynamics, and symmetric tensor dynamics, as used for example in introductions to general relativity, into one single formalism: a specific kind of biquaternion tensor calculus.
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