Current generation by Thomson scattering in a non-relativistic plasma (kBT/mec2<<1) with the velocity shear and the temperature gradient (Hinata and Daneshvar, 1983) is extended to a relativistic plasma (kBT>mec2) by replacing Thomson cross section by Klein-Nishina formula. Because of the energy dependence of the cross-section, a numerical rather than analytic result is presented. The present calculation may be applied to a supernova implosion where the temperature may reach several MeV and a strong differential rotation is expected. It may also find applications in the early Universe, and laser-pellet interaction.
非相对论性等离子体中由汤姆孙散射产生的电流（k_BT/m_ec^2 << 1），并考虑速度剪切和温度梯度（Hinata 和 Daneshvar，1983），被推广到相对论性等离子体（k_BT/m_ec^2 >> 1），方法是将汤姆孙散射截面替换为克莱因-仁科公式。由于散射截面的能量依赖性，本文给出的是数值结果而非解析结果。本计算可应用于超新星内爆，其中温度可达数 MeV，且预期存在强差分旋转；也可应用于早期宇宙以及激光-靶丸相互作用。