论相对论性量子矩阵力学(S=h/2)

On Relativistic Quantum Matrix Mechanics(S=h/2)

根据海森堡方程既不能得到四维速度算符和四维动量算符之间的关系,也无法得到四维速度算符空间分量与三维速度算符之间的关系。根据狭义相对论及玻姆规则,给出一个新的相对论性矩阵力学方程,通过这个新方程,这些问题都能得到解决。对自由粒子的情况进行了详细讨论,其三维速度及四维速度算符矩阵元都与相对论力学一致,进而给出三维速度和四维动量等物理学量算符服从的一个守恒方程。

According to Heisenberg equation,the relationship between the four-dimensional velocity operator and the four-dimensional momentum operator,and the relationship between the spatial component of the four-dimensional velocity operator and the three-dimensional velocity operator cannot be obtained.According to the special theory of relativity and Bohm rule,deduced a new relativistic matrix mechanics equation in detail.Through this new equation,these problems can be solved.For the case of free particles,made a detailed discussion.The matrix elements of three-dimensional velocity and four-dimensional velocity operators are consistent with relativistic mechanics,and then a conservation equation obeyed by physical quantity operators such as three-dimensional velocity and four-dimensional momentum is obtained.