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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/131793
Schrödinger equations for higher order nonrelativistic particles and N-Galilean conformal symmetry
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We consider Schrödinger equations for a nonrelativistic particle obeying an N + 1 -th order higher derivative classical equation of motion. These equations are invariant under N (odd)-extended Galilean conformal algebras in general d + 1 dimensions. In 2 + 1 dimensions, the exotic Schrödinger equations are invariant under N (even)-Galilean conformal algebras.
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GOMIS TORNÉ, Joaquim and KAMIMURA, Kiyoshi. Schrödinger equations for higher order nonrelativistic particles and N-Galilean conformal symmetry. Physical Review D. 2012. Vol. D85, num. 4, pags. 045023. ISSN 1550-7998. [consulted: 8 of October of 2026]. Available at: https://hdl.handle.net/2445/131793