Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The current algebra representations of quantum many-particle
  Schr\"odinger type Hamiltonian models, their factorized structure and
  integrability   There is developed a current algebra representation scheme for reconstructing
algebraically factorized quantum Hamiltonian and symmetry operators in the Fock
type space and its application to quantum Hamiltonian and symmetry operators in
case of quantum integrable spatially many- and one-dimensional dynamical
systems. As examples, we have studied in detail the factorized structure of
Hamiltonian operators, describing such quantum integrable spatially many- and
one-dimensional models as generalized oscillatory, Calogero-Sutherland, Coulomb
type and nonlinear Schr\"{o}dinger dynamical systems of spinless
bose-particles.

31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an