Quantum mechanical formalism of particle beam optics

Details Quantum mechanical formalism of particle beam optics Quantum mechanical formalism of particle beam optics

2001-12-25

arxiv.org/abs/physics/0112085v1

Physics

Accelerator Physics

ReVTeX 06 pages, in Proc. of the 18th Advanced ICFA Beam Dynamics Workshop on Quantum Aspects of Beam Physics (QABP) (15-20 Oc

Scientific paper

A general procedure for construction of the formalism of quantum beam optics for any particle is reviewed. The quantum formalism of spin-1/2 particle beam optics is presented starting {\em ab initio} with the Dirac equation. As an example of application the case of normal magnetic quadrupole lens is discussed. In the classical limit the quantum formalism leads to the well-known Lie algebraic formalism of classical particle beam optics.

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