动力学系统量子水平的Euler-Lagrange方程

Euler-Lagrange Equation of Dynamical Systems at the Quantum Level

按Faddeev-Popov方法,从规范不变系统位形空间中的生成泛函出发,导出了规范不变系统量子水平的Euler-Lagrange方程,给出了电磁场量子水平的Euler-Lagrange方程.指出"光的横移"的研究给出的仅是经典结果,在量子水平下尚需进一步修正.

According to Faddeev-Popov, arule of path integral quantization, based on the generating Green function in Configuration-Space for a gauge-invariant system, Euler-Lagrange equations at the quantum level are derived. A Euler-Lagrange equation at the quantum level for electromagnetic field is reduced. It is pointed out that the results about the transverse shift are the classical results only, which must be corrected at the quantum level.