复八元数空间中的岁差角速度和场强
Precessional angular velocity and field strength in the complex octonion space
摘要：
本文旨在利用八元数研究电磁场和引力场中几种粒子的进动角速度。一些学者利用八元数研究电磁场和引力场。一个公式可以从八元数扭矩导出，计算由陀螺扭矩产生的进动角速度。当八元数力为零时，可以推导出力的平衡方程和旋进平衡方程等。从力平衡方程，可以推导出粒子旋转的角速度。同时，从进动平衡方程出发，可以确定由力矩导数引起的进动角速度，包括拉莫尔进动的角速度。特别地，转矩导数的某些成分与场强成正比。研究表明，由扭矩导数引起的进动角速度与扭矩产生的进动角速度无关。由力矩导数引起的进动角速度与力矩导数和进动速度的空间维数有关。这将有助于进一步理解自旋角动量的进动角速度。
英文摘要：
The paper aims to apply the octonions to explore the precessional angular velocities of several particles in the electromagnetic and gravitational fields. Some scholars utilize the octonions to research the electromagnetic and gravitational fields. One formula can be derived from the octonion torque, calculating the precessional angular velocity generated by the gyroscopic torque. When the octonion force is equal to zero, it is able to deduce the force equilibrium equation and precession equilibrium equation and so forth. From the force equilibrium equation, one can infer the angular velocity of revolution for the particles. Meanwhile, from the precession equilibrium equation, it is capable of ascertaining the precessional angular velocity induced by the torque derivative, including the angular velocity of Larmor precession. Especially, some ingredients of torque derivative are in direct proportion to the field strengths. The study reveals that the precessional angular velocity induced by the torque derivative is independent of that generated by the torque. The precessional angular velocity, induced by the torque derivative, is relevant to the torque derivative and the spatial dimension of precessional velocity. It will be of great benefit to understanding further the precessional angular velocity of the spin angular momentum.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
