Superintegrable relativistic systems in spacetime-dependent background fields
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Date
2017-07-28Author
Heinzl, Thomas
Ilderton, A
Subject
math-ph math-ph math.MP nlin.SI
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Show full item recordAbstract
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.
Description
14 pages
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Publisher
IOP Publishing
Journal
Journal of Physcis A: Mathematical and Theoretical
Volume
50
Issue
34
Pagination
345204-345204
Author URL
Publisher URL
Number
ARTN 345204
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