边界条件下的电磁场的正则量子化

Cannonical Quantization of Classical Electromagnetic Field with Bboundary Conditions

利用Fadeev-Jakiw方法对带边界条件的电磁场进行量子化,将场变量的傅里叶展开的模作为新的动力学变量获得对易关系,所有的量子化过程都在经典解空间进行。计算了两无穷平行平面边界的Casimir能。

The carmonial quantization of the electromagnetic field with boundary conditions was studied by Fadeev-Jackiw approach The quantization procedure was done in the classical solution space .The commutation relation was obtained by defining the Fourier modes as new dynamic variables and the gauge condition was used to remove the pseudo-photon states. The Casimir energy of electromagnetic field with the boundary of two infinite parallel planes is given.