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arXiv · 1109.3773

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

Joaquim Gomis·Kiyoshi Kamimura
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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.

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Joaquim Gomis, Kiyoshi Kamimura. 2012-03-15. Schrodinger Equations for Higher Order Non-relativistic Particles and N-Galilean Conformal Symmetry. https://doi.org/10.1103/physrevd.85.045023

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