论文标题
带有Glaser和Power Law模型的圆形磁性电子镜头的量子力学，$ b（z）$
Quantum mechanics of round magnetic electron lenses with Glaser and power law models of $B(z)$
论文作者
论文摘要
考虑了使用折叠式 - 杜塞森样转换技术从狄拉克方程得出的量子电子光学光学量的标量理论。研究了带有Glaser的圆形磁性电子镜头和轴向磁场$ B（Z）$的电源定律模型。 Glaser模型晶状体的近端量子传播器是根据其近端运动方程的众所周知的基本解决方案获得的。如果使用Peano-Baker系列构建了通过求解微分方程获得的近似方程式的著名基本解决方案的镜头模型。简要讨论了畸变的量子力学。指出了量子不确定性在畸变中的作用，以及在非顺式光束运动方程的非线性部分中的作用。本文的主要目的是了解电子束光学器件的量子力学，尽管量子效应对当今电子束设备的光学的影响可能可以忽略不计。
Scalar theory of quantum electron beam optics, at the single-particle level, derived from the Dirac equation using a Foldy-Wouthuysen-like transformation technique is considered. Round magnetic electron lenses with Glaser and power law models for the axial magnetic field $B(z)$ are studied. Paraxial quantum propagator for the Glaser model lens is obtained in terms of the well known fundamental solutions of its paraxial equation of motion. In the case of lenses with the power law model for $B(z)$ the well known fundamental solutions of the paraxial equations, obtained by solving the differential equation, are constructed using the Peano-Baker series also. Quantum mechanics of aberrations is discussed briefly. Role of quantum uncertainties in aberrations, and in the nonlinear part of the equations of motion for a nonparaxial beam, is pointed out. The main purpose of this article is to understand the quantum mechanics of electron beam optics though the influence of quantum effects on the optics of present-day electron beam devices might be negligible.
