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在相对论量子场论（ＱＨＤ）的框架下，得到了相对论线性Ｖｌａｓｏｖ方程．依此计算了球形核１６Ｏ、４０Ｃａ、９０Ｚｒ及２０８Ｐｂ的巨偶极共振的强度函数分布．结果表明，相对论效应是不可忽视的．计算得到的巨共振中心能量稍高于非相对论线性Ｖｌａｓｏｖ方程给出的对应值，与实验结果比较都有较好的符合．对计算结果作了简要的讨论，发现核子有效质量和平均场自旅轨道耦合力对巨共振能量有重要影想．
In the framework of relativistic quantum field theory (QHD), a relativistic linear Vlasov equation is obtained. The intensity function distributions of the giant dipole resonances of the spherical nuclei 16O, 40Ca, 90Zr and 208Pb are thus calculated. The results show that the relativistic effect can not be ignored. The calculated giant resonance center energy is slightly higher than that of the non-relativistic linear Vlasov equation, which is in good agreement with the experimental results. The results of the calculations are briefly discussed and it is found that the effective mass of the nuclei and the average field coupling of the orbital path have important implications for the giant resonance energy.