Moment invariants for particle beams
- 1 January 1988
- proceedings article
- Published by AIP Publishing in AIP Conference Proceedings
- Vol. 177 (1) , 323-335
- https://doi.org/10.1063/1.37804
Abstract
The rms emittance is a certain function of second moments in 2‐D phase space. It is preserved for linear, uncoupled (1‐D) motion. In this paper, we present new functions of moments that are invariants for coupled motion. These invariants were computed symbolically using a computer algebra system. Possible applications for these invariants are discussed. Also, approximate moment invariants for nonlinear motion are presented.Keywords
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