The hyperbolic complex space R_H is isomorphic to the 4-dimensional ( 4D) Minkowski spacetime, and the hyperbolic phase transformation group U_4 ( H) in R_H is just Lorentz transformation group on 4D relativistic spacetime. 双曲复空间RH同构于四维Minkowski时空,而其上的双曲相位变换群U4(H)就是四维相对论时空中的洛仑兹(Lorentz)变换群。
This paper, on the viewpoint of uniformity of space-time, deals with the normal homogeneous Lorentz transformation group, and derives out the form of wave function of relativistic free particle under normal homogeneous Lorentz transformation by applying infinitesimal operator relative to the transformation group. 本文从时空均匀性出发,讨论了正齐次Lorentz变换群,利用相应于该变换群的无穷小算符,导出相对论性自由粒子波函数在正齐次Lorentz变换下的表现形式。
Complex Quaternion and Restricted Lorentz Group 复四元数与狭义Lorentz群
By means of the commutation relation between the γ-matriees and the generators of the Lorentz group, we obtain the expression of gauge potential for the related "isotopic space". 借助γ-矩阵和洛仑兹群生成元的对易关系,得到相应的同位旋空间的规范势的表达式。
On Commutators of Lorentz Group s Lorentz群的换位子
The electromagnetism in vacuo and Lie algebra of the Lorentz group 真空中的电磁场与洛仑兹群的李代数