Liouville Theory for Fully Analytic Studies of Transverse Beam Dynamics in Laser-Plasma Ion Accelerators
The exact solution of the Liouville equation expressed in terms of exponential operators can describe the phase space evolution of particle beams in transport lines. In this paper, we generalize the solution of the above equation for the case of beam losses induced by apertures and for particle beam...
Main Authors: | , , , , , , , , , |
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Format: | Article |
Language: | English |
Published: |
MDPI AG
2022-09-01
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Series: | Symmetry |
Subjects: | |
Online Access: | https://www.mdpi.com/2073-8994/14/9/1875 |