Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Free Motion of a Dirac Particle with a Minimum Uncertainty in Position   In this paper, we present a covariant, relativistic noncommutative algebra
which includes two small deformation parameters. Using this algebra, we obtain
a generalized uncertainty principle which predicts a minimal observable length
in measure of space-time distances. Then, we introduce a new representation for
coordinate and momentum operators which leads to a generalized Dirac equation.
The solutions of the generalized Dirac equation for a free particle will be
explicitly obtained. We also obtain the modified fermionic propagator for a
free Dirac particle.

25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph