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2009fermi
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2.1 Introduction
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1 A quick introduction to beam physics
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2
. Beam dynamics - linear formalism
Subsections
2
.
1
Introduction
2
.
1
.
1
Coordinate system
2
.
1
.
2
Equation of motion
2
.
2
A particular case: Hill's equation - Betatron functions
2
.
3
General resolution of the perturbated linear equation of motion
2
.
3
.
0
.
1
Vectorial form
2
.
3
.
0
.
2
Homogeneous equation
2
.
3
.
0
.
3
Particular solution by variation of constant parameter
2
.
3
.
0
.
4
General Solution
2
.
3
.
0
.
5
Going back to two dimensions
2
.
3
.
0
.
6
Particular case of
constant
Next:
2.1 Introduction
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1 A quick introduction to beam physics
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1.2 Basic notions of relativity
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Emmanuel Branlard
http://emmanuel.branlard.free.fr/