Report from Working Group T 5 : Beam Dynamics

During the last several decades there have been tremendous advances in the power and the techniques of particle accelerators. In parallel, there have been remarkable advances in the understanding of how charged particle beams interact with themselves and with external environments. The current status of beam dynamics is such that some of the mathematical tools for the collective instabilities, phase-space dilutions and beam cooling methods, nonlinear phenomenon, etc. have become practical design tools for currently operating accelerators. As we contemplate the next generation of large-scale accelerator projects, there are more challenges ahead, both in improving the predictive power of the current calculations as well as in developing new topics. This report is a summary of the discussions of the Beam Dynamics (T5) Working Group at Snowmass on the progress and challenges for the beam dynamics of future accelerators.