ORCID
- Heinzl, Tom: 0000-0001-8954-1986
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.
DOI
10.1088/1751-8121/aa7fa3
Publication Date
2017-07-28
Publication Title
Journal of Physcis A: Mathematical and Theoretical
Organisational Unit
School of Engineering, Computing and Mathematics
Keywords
math-ph, math.MP, nlin.SI
Recommended Citation
Heinzl, T., & Ilderton, A. (2017) 'Superintegrable relativistic systems in spacetime-dependent background fields', Journal of Physcis A: Mathematical and Theoretical, . Available at: https://doi.org/10.1088/1751-8121/aa7fa3
