论文标题
在均匀磁场中的相对论电子的近端波函数和花序相
Paraxial wave function and Gouy phase for a relativistic electron in a uniform magnetic field
论文作者
论文摘要
在外部场中,为狄拉克粒子建立了相对论量子力学与近距离方程之间的相对论量子力学之间的联系。确定了相对论电子在均匀磁场中的副特征功能的近端形式。所获得的波函数包含了小圈相,并显着使用了自由电子的近轴波函数。
A connection between relativistic quantum mechanics in the Foldy-Wouthuysen representation and the paraxial equations is established for a Dirac particle in external fields. The paraxial form of the Landau eigenfunction for a relativistic electron in a uniform magnetic field is determined. The obtained wave function contains the Gouy phase and significantly approaches to the paraxial wave function for a free electron.