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arxiv 1701.09168 v1 pith:GQDRXUB5 submitted 2017-01-31 math-ph math.MPnlin.SI

Superintegrable relativistic systems in spacetime-dependent background fields

classification math-ph math.MPnlin.SI
keywords relativisticfieldsbackgroundexamplesintegralsmotionsuperintegrablesystems
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We consider a relativistic charged particle in background electromagnetic fields depending on both space and time. We identify which symmetries of the fields automatically generate integrals (conserved quantities) of the charge motion, accounting fully for relativistic and gauge invariance. Using this we present new examples of superintegrable relativistic systems. This includes examples where the integrals of motion are quadratic or nonpolynomial in the canonical momenta.

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