Quantum theory of magnetic quadrupole lenses for spin-1/2 particles

Details Quantum theory of magnetic quadrupole lenses for spin-1/2 particles Quantum theory of magnetic quadrupole lenses for spin-1/2 particles

1998-09-21

arxiv.org/abs/physics/9809032v1

Physics

Accelerator Physics

13 pages. To appear in the Proceedings of 15th Advanced ICFA Beam Dynamics Workshop on Quantum Aspects of Beam Physics (Monter

Scientific paper

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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