扭曲光子与原子电子的轨道交换Angular Momentum
On Exchange of Orbital Angular Momentum Between Twisted Photons and Atomic Electrons
摘要：
本文给出了扭曲（拉盖尔-高斯分布）光子与氢原子散射的矩阵元表达式。我们认为光子进入的轨道角动量（OAM）的$\ell \hbar$，携带的一个因素$e^{i \ell ϕ}$不存在于一个平面波或纯高斯轮廓光束。研究了OAM的$+2\ell$单元从光子到原子方位角量子数的转移性质。我们得到简单的公式，这些OAM翻转转换的弹性前向散射的扭曲光子时，光子波长$λ$是大的相比，原子的目标尺寸$a$，和小的瑞利范围$z_R$，它的特点是扭曲的光子束的准直长度。
英文摘要：
We obtain an expression for the matrix element for a twisted (Laguerre-Gaussian profile) photon scattering from a hydrogen atom. We consider photons incoming with an orbital angular momentum (OAM) of $\ell \hbar$, carried by a factor of $e^{i \ell ϕ}$ not present in a plane-wave or pure Gaussian profile beam. The nature of the transfer of $+2\ell$ units of OAM from the photon to the azimuthal atomic quantum number of the atom is investigated. We obtain simple formulae for these OAM flip transitions for elastic forward scattering of twisted photons when the photon wavelength $λ$ is large compared with the atomic target size $a$, and small compared the Rayleigh range $z_R$, which characterizes the collimation length of the twisted photon beam.
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