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arxiv: 1109.3773 · v2 · pith:IZQ6PERNnew · submitted 2011-09-17 · ✦ hep-th · math-ph· math.MP

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

Joaquim Gomis , Kiyoshi Kamimura This is my paper
classification ✦ hep-th math-phmath.MP
keywords equationsschrodingerconformaldimensionshigherinvariantnon-relativisticorder
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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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