Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum mechanics of Dirac particle beam optics: Single-particle theory   It has been found that quantum corrections can substantially affect the
classical results of tracking for trajectories close to the separatrix. Hence
the development of a basic formalism for obtaining the quantum maps for any
particle beam optical system is called for. To this end, it is observed that
several aspects of quantum maps for the beam optics of spin-1/2 particles can
be studied, at the level of single particle dynamics, using the proper
formalism based on the Dirac equation.

12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga