Abstract
We study the space-time symmetries of the actions obtained by expanding the action for a massive free relativistic particle around the Galilean action [1]. We obtain all the point space-time symmetries of the post-Galilean actions by working in canonical space. We also construct an infinite collection of generalized Schrödinger algebras parameterized by an integer M, with M = 0 corresponding to the standard Schrödinger algebra. We discuss the Schrödinger equations associated to these algebras, their solutions and projective phases.
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Batlle, C., Gomis, J. Space-time Schrödinger symmetries of a post-Galilean particle. J. High Energ. Phys. 2020, 33 (2020). https://doi.org/10.1007/JHEP08(2020)033
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DOI: https://doi.org/10.1007/JHEP08(2020)033