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arXiv · 2004.13636

Space-time Schr\"odinger symmetries of a post-Galilean particle

Carles Batlle·Joaquim Gomis
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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. 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 Schr\"odinger algebras parameterized by an integer $M$, with $M=0$ corresponding to the standard Schr\"odinger algebra. We discuss the Schr\"odinger equations associated to these algebras, their solutions and projective phases.

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Carles Batlle, Joaquim Gomis. 2020-04-28. Space-time Schr\"odinger symmetries of a post-Galilean particle. https://doi.org/10.1007/jhep08(2020)033

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