Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Systems Obeying to Generalized Exclusion-Inclusion Principle   In this work is studied a many body system obeying to a generalized
Exclusion-Inclusion Principle (EIP) originated by collective effect, the
dynamics, in mean field approximation, being ruled by a nonlinear Schroedinger
equation. The EIP is introduced by a judicious generalization of the particle
current. By means of variational principle is obtained a canonical nonlinear
Schroedinger equation. We study the Lagrangian and Hamiltonian formulation. We
study the symmetries of the nonlinear Schroedinger equation obeying to EIP and
by means of Noether theorem we obtain and discuss conserved quantities.
Successively, EIP-Schroedinger equation is coupled in a minimal way to an
abelian gauge field which dynamics is described by the Maxwell-Chern-Simons
Lagrangian. We show that the anyonic statistic behavior ascribed to the system
by the Chern-Simons Lagrangian is not destroyed by the presence of EIP
potential. Finally, we study special solutions of the system. Applications on
the Bose-Einstein condensation and vortex-like solution in the picture of
Chern-Simons interaction are considered.

7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph