Longitudinal head-tail instability in a non-harmonic potential well.

摘要

A perturbation technique is developed that can be applied to study the collective instability problem when the unperturbed system is not described by a simple-harmonic oscillator. The longitudinal head-tail instability effect is well studied as applications of this technique. Applications of the longitudinal head-tail instability effects to the CERN Super Proton Synchrotron and the Superconducting Super Collider are included.