Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Gauge-invariant Hamiltonian Description of the Motion of Charged Test
  Particles   New, gauge-independent, second-order Lagrangian for the motion of classical,
charged test particles is used to derive the corresponding Hamiltonian
formulation. For this purpose a Hamiltonian description of the theories derived
from the second-order Lagrangian is presented. Unlike in the standard approach,
the canonical momenta arising here are explicitely gauge-invariant and have a
clear physical intepretation. The reduced symplectic form is equaivalent to the
Souriau's form. This approach illustrates a new method of deriving equations of
motion from field equations.

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The categories of this paper are: cs
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
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The categories of this paper are: nlin
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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat