Semi-parameterization of Dragt-Finn factorization map and its application to Irwin kick factorization

摘要

This note is based on the work we did in August, 1989 for parameterizing Irwin factorization kick map. A semi-parameterization method was employed in which the linear part of the map is three-dimensional (six-dimensional in phase space) while the nonlinear part of the map is two-and-one-half-dimensional. The one-half dimension can be eliminated once the parameter (off-momentum) is updated at the beginning of each turn of the kick map.