Construction of Nonlinear Symplectic Six-Dimensional Thin-Lens Maps by Exponentiation

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dc.creatorHeinemann, K.
dc.creatorRipken, G.
dc.creatorSchmidt, F.
dc.date1995-10-30
dc.date.accessioned2026-07-07T09:05:24Z
dc.date.available2026-07-07T09:05:24Z
dc.descriptionThe aim of this paper is to construct six-dimensional symplectic thin-lens transport maps for the tracking program SIXTRACK, continuing an earlier report by using another method which consistes in applying Lie series and exponentiation as described by W. Groebner and for canonical systems by A.J. Dragt. We firstly use an approximate Hamiltonian obtained by a series expansion of the square root. Furthermore, nonlinear crossing terms due to the curvature in bending magnets are neglected. An improved Hamiltonian, excluding solenoids, is introduced in Appendix A by using the unexpanded square root mentioned above, but neglecting again nonlinear crossing terms...
dc.description57 pages, latex
dc.identifierhttps://arxiv.org/abs/acc-phys/9510005
dc.identifierhttp://arxiv.org/abs/acc-phys/9510005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/149665
dc.subjectAccelerator Physics
dc.titleConstruction of Nonlinear Symplectic Six-Dimensional Thin-Lens Maps by Exponentiation
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