Superintegrable relativistic systems in spacetime-dependent background
 fields

T. Heinzl; A. Ilderton

doi:10.1088/1751-8121/aa7fa3

Superintegrable relativistic systems in spacetime-dependent background fields

T. Heinzl^*, A. Ilderton

^*Corresponding author for this work

School of Engineering, Computing and Mathematics

Research output: Contribution to journal › Article › peer-review

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Abstract

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.

Original language	English
Number of pages	0
Journal	Journal of Physcis A: Mathematical and Theoretical
Volume	0
Issue number	0
Early online date	28 Jul 2017
DOIs	https://doi.org/10.1088/1751-8121/aa7fa3
Publication status	Published - 28 Jul 2017

Keywords

math-ph
math.MP
nlin.SI

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10.1088/1751-8121/aa7fa3

Symmetries JPA resub 2

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Superintegrable relativistic systems in spacetime-dependent background fields

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