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

Physics – High Energy Physics – High Energy Physics - Theory

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14 pages, no figure

Scientific paper

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.

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