Question about accelerator physics

In summary, the conversation discusses the use of mapping matrices in accelerator physics to describe particle motion. It is noted that for a given one turn mapping matrix, the position and angle of the particle change after matrix multiplication, indicating that the trajectory is not closed. The speaker expresses confusion as to why this happens and the conversation shifts to the idea that a closed trajectory may work in mathematics but not in reality due to imperfections in components leading to deviation. It is suggested that even a closed trajectory after 2-5 turns should be avoided to prevent particles from getting lost.
  • #1
Ruihu Zhu
6
0
In accelerator physics, mapping matrix is often used to describe particle's motion.For a given one turn mapping matrix,namely M(s+L|s) ,and initial (x,x').After matrix multiplication, I find the value of (x,x') changes which means particle's position and angle changes at the same s after one turn mapping.This shows the trajectory of this particle is not closed.I can't understand why this happens.
 
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  • #2
I moved the thread to classical physics.
Ruihu Zhu said:
This shows the trajectory of this particle is not closed.I can't understand why this happens.
That's how it has to be. A closed trajectory might work in mathematics but not in reality. Components are never perfect, so particles will get some unaccounted deviation. With a closed trajectory after one turn they will always get the same deviation which accumulates, and they will get lost quickly. Even a closed trajectory after 2-5 turns should be avoided.
 
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Related to Question about accelerator physics

1. What is accelerator physics?

Accelerator physics is a field of science that studies the behavior and principles of particle accelerators, which are machines that accelerate charged particles to high speeds and energies for various scientific and practical applications.

2. What are the applications of accelerator physics?

Accelerator physics has a wide range of applications, including particle physics research, medical imaging and cancer treatment, industrial materials processing, and energy production.

3. How do particle accelerators work?

Particle accelerators use electromagnetic fields to accelerate charged particles, such as protons or electrons, to high speeds. These particles are then directed and controlled using magnets and other devices, and can be made to collide with each other or with a target to produce various effects.

4. What is the Large Hadron Collider (LHC)?

The Large Hadron Collider (LHC) is the world's largest and most powerful particle accelerator, located at the European Organization for Nuclear Research (CERN) in Switzerland. It is used to study the fundamental building blocks of matter and the forces that govern their interactions.

5. What are the challenges in accelerator physics research?

Some of the challenges in accelerator physics research include designing and building increasingly powerful and complex machines, developing new technologies for controlling and manipulating particles, and understanding and mitigating potential hazards such as radiation and high-energy collisions.

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