论文标题
关于光学狄拉克方程的主要代表
On the Majorana representation of the optical Dirac equation
论文作者
论文摘要
我们考虑了光学狄拉克方程的表示，尤其是纯粹是实现的哈密顿量。对于麦克斯韦的方程来说，这是相当于无数狄拉克（Weyl）方程的主要表示。我们在狄拉克和光学狄拉克方程的狄拉克，手性和主要代表之间进行类比，并得出了两个新的光学大型表示。正如狄拉克（Dirac）和手性表示与光自旋和螺旋状态有关的一样，光学狄拉克方程的这些主要表示与光的线性极化有关。这提供了一种在经典场理论的背景下比较电子和电磁波方程的方法。
We consider the representations of the optical Dirac equation, especially ones where the Hamiltonian is purely real-valued. This is equivalent, for Maxwell's equations, to the Majorana representation of the massless Dirac (Weyl) equation. We draw analogies between the Dirac, chiral and Majorana representations of the Dirac and optical Dirac equations, and derive two new optical Majorana representations. Just as the Dirac and chiral representations are related to optical spin and helicity states, these Majorana representations of the optical Dirac equation are associated with the linear polarisation of light. This provides a means to compare electron and electromagnetic wave equations in the context of classical field theory.
