Hamiltonian systems in accelerator physics
Abstract
General features of the design of annular particle accelerators or storage rings are outlined and the Hamiltonian character of individual-ion motion in one spatial degree of freedom, of an ion subject to a periodic nonlinear focusing force. A canonical transformation describing coupled nonlinear motion is also given, and alternative types of graphical display are suggested for the investigation of long-term stability in such cases.
- Publication:
-
Presented at the Orbital Dynamics and Aplications to Accelerators Workshop
- Pub Date:
- June 1985
- Bibcode:
- 1985odaa.workS....L
- Keywords:
-
- Cyclic Accelerators;
- Equations Of Motion;
- Ions;
- Storage Rings (Particle Accelerators);
- Canonical Forms;
- Degrees Of Freedom;
- Hamiltonian Functions;
- Nonlinear Equations;
- Transformations (Mathematics);
- Nuclear and High-Energy Physics