A SOVIET FORMALISM IN BETATRON OSCILLATION THEORY AND ITS COMPARISON WITH OTHER CONCEPTS

摘要

The theory of betatron oscillations in a synchrotron is presented according to a logi¬cal development using first the classical COURANT-SNYDER formalism and second a Soviet formalism. It is then possible to compare the concepts and the terminology used in both cases, and this could help people who will have to work on the Serpukhov synchrotron. The Soviet formalism is based on the concept of complex "Floquet function φ(s)" and of its derivative φ'(s), as a solution of the equation of motion.