Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Noether symmetries for charged particle motion under a magnetic monopole
  and general electric fields   The search for Noether point symmetries for non-relativistic charged particle
motion is reduced to the solution for a set of two coupled, linear partial
differential equations for the electromagnetic field. These equations are
completely solved when the magnetic field is produced by a fixed magnetic
monopole. The result is applied to central electric field cases, in particular
to the time-dependent monopole-oscillator problem. As an additional example of
the theory, we found all Noether point symmetries and invariants for a constant
magnetic field and a time-dependent harmonic electric field with a forcing
term.

16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
2
The categories of this paper are: math
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th