Superintegrable relativistic systems in spacetime-dependent background fields
| Title: | Superintegrable relativistic systems in spacetime-dependent background fields |
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| Authors: | Heinzl, Tom, Ilderton, Anton |
| Publication Year: | 2017 |
| Collection: | Mathematics Mathematical Physics Nonlinear Sciences |
| Subject Terms: | Mathematical Physics, Nonlinear Sciences - Exactly Solvable and Integrable Systems |
| More Details: | 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. Comment: 14 pages |
| Document Type: | Working Paper |
| DOI: | 10.1088/1751-8121/aa7fa3 |
| Access URL: | http://arxiv.org/abs/1701.09168 |
| Accession Number: | edsarx.1701.09168 |
| Database: | arXiv |
| DOI: | 10.1088/1751-8121/aa7fa3 |
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