相对论粒子的自旋算符(英文)

Spin Operator for the Relativistic Particle

发展了关于相对论态自旋算符的系统理论 .考虑了具有非零静质量的粒子情况 .对带自旋的相对论粒子 ,通常的自旋算符需换为相对论的自旋算符 .在Poincar啨群不可约表示的框架里 ,构造了适用于粒子任意正则态的自旋算符 ,称为运动自旋 .本文的讨论限于量子力学 .

A systematic theory of the appropriate spin operators for the relativistic states is developed. This paper discusses it in particle case, i.e., the quantum mechanics problem. For a massive relativistic particle with arbitrary nonzero spin, the spin operator should be replaced with the relativistic one. In the frame of irreducible representation of Poincaré group, this spin operator, which is named as moving spin and applied to all the canonical states of the particle, is constructed. Further discussion on the concept of moving spin in the quantum field theory will be followed.