Title :
Note on the Courant and Snyder Invariant
Author_Institution :
Fermi National Accelerator Laboratory, Batavia, Ill 60510, USA
Abstract :
A review is given of the mathematical derivation of the Courant and Snyder invariant which is well-known as the betatron emittance in accelerators or storage rings. It is shown that the existance of such an invariant is a remarkable characteristic of a linear system even for non-periodic motion.
Keywords :
Algebra; Contracts; Differential algebraic equations; Differential equations; Educational institutions; Laboratories; Linear systems; Matrices; Oscillators; Storage rings;
Journal_Title :
Nuclear Science, IEEE Transactions on
DOI :
10.1109/TNS.1983.4332831
