Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Realizations of observables in Hamiltonian systems with first class
  constraints   In a Hamiltonian system with first class constraints observables can be
defined as elements of a quotient Poisson bracket algebra. In the gauge fixing
method observables form a quotient Dirac bracket algebra. We show that these
two algebras are isomorphic. A new realization of the observable algebras
through the original Poisson bracket is found. Generators, brackets and
pointwise products of the algebras under consideration are calculated.

23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom