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

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

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