Photon angular momentum: selection rules and multipolar transition moments
Photon angular momentum: selection rules and multipolar transition moments
复制标题
光子角动量：选择规则和多极跃迁矩
DOI：
--
复制
发表时间：
2008
期刊：
影响因子：
--
通讯作者：
R. Grinter
中科院分区：
文献类型：
--
作者：
R. Grinter
用矢量球谐函数和贝塞尔函数描述了电磁辐射，并用它导出了原子电子跃迁的选择规则，正如预期的那样，这表明原子加光子系统的角动量是守恒的，更重要的是，给出了所涉及的光子角动量的非常精确的描述。计算了氢原子的电偶极矩、电偶极矩和磁偶极跃迁矩的矩阵元实例，并与通常的平面波展开法和最近有关“扭曲”光束的研究结果进行了比较。
The representation of electromagnetic radiation by means of vector spherical harmonics and Bessel functions is described and used to derive selection rules for atomic electronic transitions which, as expected, show that the angular momentum of the system—atom plus photon—is conserved and, more importantly, provide a very precise description of the angular momentum of the photon involved. Examples of matrix elements for electric dipole, electric quadrupole and magnetic dipole transition moments of the hydrogen atom are calculated and the results compared with those obtained by the usual plane-wave expansion and with more recent results obtained in connection with studies of ‘twisted’ beams.