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Abstract
Non-linearities in beam dynamics of charged particles will be discussed. Lie-Methods in combination with differential algebra (DA) and truncated power series (TPS) will be used. We will use statistical mechanics to study storage rings and free electron lasers. Crystalline beams and quantum mechanics effects will be analysed towards possible a use of accelerator in quantum sensing.
Objective
Models for nonlinear beam dynamics can be applied to new or existing particle accelerators.
Content
- Symplectic Maps and Higher Order Beam Dynamics - Taylor Models and Differential Algebra (repetition from PAM-1) - Normal Forms Analysis - Long term integration of charged particles - Statistical Mechanics for Electron Storage Rings and Free Electron Lasers - Crystalline beams and quantum mechanics effects
Resources
Lecture Notes
Lecture notes
Literature
Will be provided during the lecture.
Learning Materials (Links)
- Literature
- Skript
General Information
- Language
- English
- Levels
- MSC
- Frequency
- Yearly recurring
Examination
- Type
- session examination
- Mode
- oral 30 minutes
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture |
Particle Accelerator Physics and Modeling II
Does not take place this semester.
|
No time listed | 2 h weekly |
| exercise |
Particle Accelerator Physics and Modeling II
Does not take place this semester.
|
No time listed | 1 h weekly |
Offered In
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Physik (Für das Vertiefungsgebiet "Physik" sind Grundkenntnisse in Quantenmechnik erforderlich.)
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