Electromagnetic Force in the Complex Quaternion Space
J. C. Maxwell applied simultaneously the vector terminology and the quaternion analysis to study the electromagnetic features. Nowadays the spaces of electromagnetic and gravitational fields can be chosen as the quaternion spaces, and the coordinates of quaternion spaces are able to be the complex numbers. The quaternion space of the electromagnetic field is independent to that of the gravitational field. These two quaternion spaces can combine together to become one octonion space. Contrarily the octonion space can be separated into two subspaces, the quaternion space and the S-quaternion space. In the quaternion space, it is able to deduce the field strength, field source, angular momentum, torque, force, and mass continuity equation etc. in the gravitational field. In the S-quaternion space, it is able to infer the field strength, field source, and current continuity equation etc. in the electromagnetic field. The results reveal that the quaternion space is suitable to depict the gravitational features, including the gravity and the mass continuity equation etc.. Meanwhile the S-quaternion space, it is suitable to describe the electromagnetic features, including the electromagnetic force and the current continuity equation etc..
Zi-Hua Weng
School of Physics and Mechanical & Electrical Engineering Xiamen University, Xiamen 361005, China
国际会议
Progress in Electromagnetics Research Symposium 2014(2014年电磁学研究新进展学术研讨会)
广州
英文
1111-1115
2014-08-01（万方平台首次上网日期，不代表论文的发表时间）