Extended theory of Kapitza-Dirac scattering
Extended theory of Kapitza-Dirac scattering
复制标题
卡皮查-狄拉克散射的扩展理论
DOI：
10.1103/physreva.70.023401
复制
发表时间：
2004
影响因子：
2.9
通讯作者：
L. Rosenberg
中科院分区：
文献类型：
--
作者：
L. Rosenberg
卡皮扎-狄拉克效应的标准理论处理，即电子通过驻波激光场的散射，在这里通过使用泡利方程来解释电子自旋与驻波磁场的相互作用，得到了扩展。给出了确定电子自旋方向有和无旋转时散射跃迁概率保持一致近似的公式。这种形式被用来发展自旋翻转概率的微扰理论，在这里感兴趣的强场极限下，它简化为$S$-矩阵元素之间相当简单的关系，用于自旋方向改变和不改变散射，每个元素都用贝塞尔函数表示。在没有自旋翻转过程的情况下，一个类似的微扰程序被应用于估计散射标准理论的修正，在自旋翻转过程中，改变场中光子净数的相互作用被忽略。
The standard theoretical treatment of the Kapitza-Dirac effect\char22{}that is, the scattering of an electron passing through a standing-wave laser field\char22{}is extended here through the use of the Pauli equation to account for the interaction of the electron spin with the magnetic field of the standing wave. Prescriptions for determining unitarity-preserving approximations for the transition probabilities for scattering both with and without rotation of the electron spin direction are provided. This formalism is used to develop a perturbation theory for the spin-flip probability which, in the strong-field limit of interest here, reduces to a fairly simple relation between $S$-matrix elements for scattering with and without change in spin orientation, each expressed in terms of a Bessel function. A similar perturbative procedure is applied to estimate corrections to the standard theory for scattering in the absence of spin-flip processes, in which interactions that change the net number of photons in the field are ignored.