1109.3773 (Joaquim Gomis et al.)

Schrodinger Equations for Higher Order Non-relativistic Particles and
N-Galilean Conformal Symmetry    [PDF]

Joaquim Gomis, Kiyoshi Kamimura

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.

View original: http://arxiv.org/abs/1109.3773