动量表象下的Lorentz变换生成元

The Generators of Lorentz Transformation in Momentum Space

在动量表象下对非零质量带自旋粒子的角动量算符和推动矢量算符也即Lorentz变换生成元进行了讨论 。

Previous results related to the appropriate spin operator and the angular momentum operator for a relativistic particle with arbitrary spin and nonzero mass are discussed in an alternative way. In light of the new method the physical meaning is laid in much more clarity, and also the orresponding result for boost vector operator is just parallel. In this paper, in the momentum space, the angular momentum operator and the boost vector operator, i.e., the generators for the Lorentz transformation of a particle with arbitrary spin and nonzero mass are discussed, resulting in the new expressions of them in terms of the orbital and spin parts respectively.