Accelerator-physics application of L0 linear-ODE and Lyapunov-stability theory. Transverse betatron motion satisfies Hill's equation x″(s) + K(s)x(s) = 0 with K(s) periodic in the arc length s. Courant and Snyder 1958 showed that the…
Accelerator-physics application of L0 linear-ODE and Lyapunov-stability theory. Transverse betatron motion satisfies Hill's equation x″(s) + K(s)x(s) = 0 with K(s) periodic in the arc length s. Courant and Snyder 1958 showed that the…