自旋1/2粒子磁四极透镜的量子理论
Quantum theory of magnetic quadrupole lenses for spin-1/2 particles
摘要：
从量子力学的基本方程出发，建立适合于所研究情况的带电粒子束流光学的量子理论的一般准则。在自旋为1/2的粒子中，这些准则从狄拉克方程开始使用。用刚建立的旋量理论分别得到了正常和斜交磁四极子的转移映射。正如预期的那样，传统的转移映射会被量子贡献修改。给出的量子形式的经典极限再现了带电粒子束流光学的著名李代数形式。
英文摘要：
General guidelines for constructing a quantum theory of charged-particle beam optics starting ab initio from the basic equations of quantum mechanics, appropriate to the situation under study. In the context of spin-1/2 particles, these guidelines are used starting with the Dirac equation. The spinor theory just constructed is used to obtain the transfer maps for normal and skew magnetic quadrupoles respectively. As expected the traditional transfer maps get modified by the quantum contributions. The classical limit of the quantum formalism presented, reproduces the well-known Lie algebraic formalism of charged-particle beam optics.
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