The wave function of free electron in a strong laser plasma is obtained by solving exactly the Dirac equation in a curved space-time with optical metric for the laser plasma.

借助激光等离子体的光学度规，严格求解了弯曲时空中的狄喇克方程，得到了强激光等离子体中的自由电子波函数。

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A class of exact solutions of the Dirac equation are obtained for an electron in the electromagnetic field of a wave guide formed by two pairs of hyperbolic cylinders.

研究了位于由两对双曲柱面构成的波导管电磁场里的单电子的性质，得到了单电子在场中狄拉克方程的新一类精确解；

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Secondly, we investigate the energy density produced by a state vector which is the superposition of three single electron states in the Dirac field in the four-dimensional Minkowski spacetime.

然后，研究了在四维平直时空下三个单粒子态构成的量子态的负能密度。

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So when, in 1928, a British physicist called Paul Dirac solved such an equation relating to the electron, the fact that one answer described the opposite of that particle might have been brushed aside as a curiosity.

ECONOMIST: Fundamental physics