Symmetries and conservation laws of a new nonlinear Schrodinger model

We consider a nonlinear canonical Schrodinger model recently proposed by us , describing collectively interacting nonrelativistic particles via a gener alized Exclusion-Inclusion Principle. Starting from the energy-momentum ten sor we study the spacetime symmetries of this model and derive the conserve d quantities and the associated fluxes. We also study the influence of the Exclusion-Inclusion Principle on the discrete symmetries P and T as well as and on the Galileo and the conformal ones. Finally, Ne discuss a particula r scale transformation related to the Exclusion-Inclusion Principle.