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402-0778-00L 6 Credits MSC D-MATH , D-PHYS
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Particle Accelerator Physics and Modeling II

Lecturers & Examiners: Dr. Andreas Adelmann
VVZ CR n/a

Last Updated: 2026-02-05 16:37:52

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)

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
  • Fri 13:45-15:30 (HCI H 2.1)
  • Fri 13:45-15:30 (HIL E 10.1)
2 h weekly
exercise Particle Accelerator Physics and Modeling II
  • Fri 15:45-16:30 (HCI H 2.1)
  • Fri 15:45-16:30 (HIL E 10.1)
1 h weekly

Offered In