高阶库仑-沃尔科夫末态强场S-矩阵理论
Strong-Field S-Matrix Theory With Coulomb-Volkov Final State in All Orders
摘要：
尽管强场KFR或SFA模型长期以来一直用于强激光场中各种过程的分析，但众所周知，它不能解释末态库仑相互作用。由于它的重要性无处不在的电离过程中，许多启发式的尝试已经在过去几十年来占最终状态库仑相互作用的SFA。也是为了这个目的，很久以前引入了一个具有所谓库仑-沃尔科夫最终状态的特设模型。然而，到目前为止，还没有系统的强场S-矩阵展开的库仑-Volkov最终状态可以找到，这里我们解决了这个长期存在的问题，确定库仑-Volkov哈密顿量，确定在最终状态的rest-interaction，并显式构造的库仑-Volkov传播子（或格林函数）。我们用它们来推导出完整的S-矩阵系列的库仑-Volkov最终状态在所有订单的电离振幅。结果以“速度”和“长度”计量器给出。我们还提出了一个规范独立版本的库仑-Volkov S-矩阵系列。
英文摘要：
Despite its long standing usefulness for the analysis of various processes in intense laser fields, it is well-known that the so-called strong-field KFR or SFA ansatz does not account for the final-state Coulomb interaction. Due to its importance for the ubiquitous ionisation process, numerous heuristic attempts have been made during the last several decades to account for the final state Coulomb interaction with in the SFA. Also to this end an ad hoc model with the so-called Coulomb-Volkov final state was introduced a long time ago. However, till now, no systematic strong-field S-matrix expansion using the Coulomb-Volkov final state could be found. Here we solve this long standing problem by determining the Coulomb-Volkov Hamiltonian, identifying the rest-interaction in the final state, and explicitly constructng the Coulomb-Volkov propagator (or Green's function). We employ them to derive the complete S-matrix series for the ionisation amplitude governed by the Coulomb-Volkov final state in all orders. The results are given in both "velocity" and "length" gauges. We also present a gauge independent version of the Coulomb-Volkov S-matrix series.
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