Formulation of nonlinear chromaticity in circular accelerators by canonical perturbation method.
The formulation of nonlinear chromaticity in circular accelerators based on the canonical perturbation method is presented. Since the canonical perturbation method directly relates the tune shift to the perturbation Hamiltonian, it greatly simplifies the calculation of the nonlinear chromaticity. The obtained integral representation for nonlinear chromaticity can be systematically extended to higher orders.
Takao
Masaru
M
SPring-8, Mikazuki, Sayo-gun, Hyogo 679-5198, Japan. takao@spring8.or.jp