Schrodinger Equations for Higher Order Non-relativistic Particles and N-Galilean Conformal Symmetry
arXiv:1109.3773 · doi:10.1103/PhysRevD.85.045023
Abstract
We consider Schrodinger equations for a non-relativistic particle obeying N+1-th order higher derivative classical equation of motion. These equations are invariant under N(odd)-extended Galilean conformal (NGC) algebras in general d+1 dimensions. In 2+1 dimensions, the exotic Schrodinger equations are invariant under N(even)-GCA.
14 pages, no figure