极端相对论性重离子碰撞含时Dirac方程的渐近通道和规范变换
Asymptotic channels and gauge transformations of the time-dependent Dirac equation for extremely relativistic heavy-ion collisions
摘要：
本文讨论了两中心含时狄拉克方程，该方程描述了极端能量下电子在相对论性重离子碰撞中的动力学行为。我们推导出一个因式分解的形式，这是准确的在高能量的限制，狄拉克方程的渐近通道的解决方案，并阐明其密切的联系与规范变换的动力学转换成一个表示，其中电子和遥远的离子之间的相互作用是短程的。我们描述了这种关系的影响，解决极端相对论性碰撞的时间依赖狄拉克方程。
英文摘要：
We discuss the two-center, time-dependent Dirac equation describing the dynamics of an electron during a peripheral, relativistic heavy-ion collision at extreme energies. We derive a factored form, which is exact in the high-energy limit, for the asymptotic channel solutions of the Dirac equation, and elucidate their close connection with gauge transformations which transform the dynamics into a representation in which the interaction between the electron and a distant ion is of short range. We describe the implications of this relationship for solving the time-dependent Dirac equation for extremely relativistic collisions.
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