Paper 
Title 
Page 
THPAS009 
On the Stability of the KapchinskijVladimirskij Equations

3528 

 C. Xu, E. Schuster
Lehigh University, Bethlehem, Pennsylvania
 C. K. Allen
LANL, Los Alamos, New Mexico



The stability of the linearized KapchinskijVladimirskij (KV) equations around a matched solution, which constitute a linear periodic Hamiltonian system, is studied. By using Floquet theorem, symplectic algebra and the eigenvalue distribution theory, a critical stability condition for the linearized particle beam envelope equations is obtained. The stability conditions are expressed in terms of the timeaveraged Hamiltonian system.

