标题： 狄拉克方程在自旋-1/2粒子束光学中的应用 显示英文标题

标题： The Dirac equation approach to spin-1/2 particle beam optics

摘要： 传统加速器光学方法主要基于经典力学，从实用角度来看效果非常好。 然而，从好奇心的角度以及为了定量探讨经典理论可能的微小量子修正的后果，最近正在开发一种用于狄拉克粒子的加速器光学的量子力学形式。 在这里，回顾了任何自旋-$\half$粒子的这种量子束光学形式的基本特征。 似乎量子修正，特别是由于海森堡不确定性引起的修正，在理解加速器束的非线性动力学中可能很重要。 显示英文摘要

摘要： The traditional approach to accelerator optics, based mainly on classical mechanics, is working excellently from the practical point of view. However, from the point of view of curiosity, as well as with a view to explore quantitatively the consequences of possible small quantum corrections to the classical theory, a quantum mechanical formalism of accelerator optics for the Dirac particle is being developed recently. Here, the essential features of such a quantum beam optical formalism for any spin-$\half$ particle are reviewed. It seems that the quantum corrections, particularly those due to the Heisenberg uncertainty, could be important in understanding the nonlinear dynamics of accelerator beams.