Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum theory of magnetic quadrupole lenses for spin-1/2 particles   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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The categories of this paper are: stat
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The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
2
The categories of this paper are: math
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
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The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg