具有4-向量位置的Poincare群算子
Poincare group operators with 4-vector position
摘要：
本文提出了一组新的关于$ 1 / r $内积空间的无质量Poincaré群厄米算符，它们具有准平面波能量动量本征函数，其速度沿传播轴为$ c $.这些都是通过一个酉变换从一组已知的无质量庞加莱群算子的螺旋$ s = 0, \pm {1 \over 2}, \pm 1 ... $的位置矢量$ {\bf r} $是空的4-向量的空间部分。
英文摘要：
We present a new set of massless Poincaré group operators Hermitian with respect to the $ 1 / r $ inner product space, which have quasi-plane wave energy-momentum eigenfunctions having velocity $ c $ along their axis of propagation. These are constructed by means of a unitary transformation from a known set of massless Poincaré group operators of helicity $ s = 0, \pm {1 \over 2}, \pm 1 ... $ The position vector $ {\bf r} $ is the space part of a null 4-vector.
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