Lie algebras associated with motion in axisymmetric electromagnetic fields
- 1 March 1979
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 20 (3) , 382-384
- https://doi.org/10.1063/1.524088
Abstract
The existence and analytical form of a vector constant of the classical relativistic planar motion of a point charge in an arbitrary time‐independent axisymmetric electromagnetic field are established. The components of the vector are utilized, in conjunction with the angular momentum, to construct realizations of the Lie algebras of the Euclidean group E(2), of the special unitary group SU(2), and of the Ladder operators of the harmonic oscillator. The charge is assumed to move in an externally prescribed field. The formulation is gauge invariant.Keywords
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