DocumentCode
868724
Title
Note on the Courant and Snyder Invariant
Author
Takayama, Ken
Author_Institution
Fermi National Accelerator Laboratory, Batavia, Ill 60510, USA
Volume
30
Issue
4
fYear
1983
Firstpage
2412
Lastpage
2414
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;
fLanguage
English
Journal_Title
Nuclear Science, IEEE Transactions on
Publisher
ieee
ISSN
0018-9499
Type
jour
DOI
10.1109/TNS.1983.4332831
Filename
4332831
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