IJPAM: Volume 68, No. 3 (2011)

SYMMETRIES AND THEIR APPLICATIONS IN
BEAM PHYSICS

Bela Erdelyi
Department of Physics
Northern Illinois University
DeKalb, IL 60115, USA
e-mail: [email protected]


Abstract. Beam physics is a branch of physics that concerns itself with the study of the formation, transport, control and manipulation of streams of particles or waves that undertake a directed energy and information transfer. Besides the fundamental importance of understanding their behavior, they are enabling a vast array of scientific endeavors ranging from the ubiquitous cathode ray tube to the largest man-made scientific instrument in existence, the Large Hadron Collider. In this paper, several symmetries and their applications are surveyed, which provide simple conceptual approaches to studies spanning design optimization of charged particle beam optical devices to development of numerical algorithms for long term stability of particle orbits in accelerators.

Received: December 21, 2010

AMS Subject Classification: 37J05, 37M15, 65P10, 70H15

Key Words and Phrases: beam physics, symmetries, symplecticity

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2011
Volume: 68
Issue: 3