Understanding Kaon Antikaon Oscillation through the Two Body Problem

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    Kaon Oscillation
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SUMMARY

The discussion centers on the relationship between Kaon-Antikaon oscillation and the two-body problem in quantum mechanics. Participants clarify that Kaon-Antikaon oscillation involves the transformation of a Kaon into an Antikaon (K^0 → \bar{K}^0) and is a prime example of a two-state system rather than a two-body system. Key resources recommended include Wikipedia and the textbook "Elementary Particle Physics - Concepts and Phenomena" by O. Nachtmann, which provides an advanced understanding of the topic. The importance of self-directed research in mastering complex concepts is emphasized.

PREREQUISITES
  • Understanding of quantum mechanics principles, particularly two-state systems.
  • Familiarity with particle physics, specifically Kaon and Antikaon properties.
  • Knowledge of CP-violation and its implications in particle physics.
  • Basic research skills to navigate academic resources effectively.
NEXT STEPS
  • Study the Wikipedia page on Kaon oscillation for foundational knowledge.
  • Read "Elementary Particle Physics - Concepts and Phenomena" by O. Nachtmann for advanced insights.
  • Explore the concept of CP-violation in detail to understand its relevance to Kaon-Antikaon oscillation.
  • Investigate the Wigner-Weisskopf approximation in the context of time-dependent perturbation theory.
USEFUL FOR

Undergraduate students in physics, particularly those studying quantum mechanics and particle physics, as well as educators seeking to enhance their understanding of Kaon-Antikaon oscillation and its applications.

Tasnim Farhan
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what's the relation between kaon antikaon oscillation and two body problem
. My teacher told me that I should learn kaon antikaon oscillation. . I can't find anything about it.
 
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two body problem?
 
under
Simon Bridge said:
What education level are you doing this in?
What did you try? Wikipedia? College library books?
https://en.wikipedia.org/wiki/Kaon#Oscillation
undergraduate level... infact I can't understand properly where should I look for
 
Kaon-Antikaon oscillation doesn't mean that you have them two going around each other, that's why I don't see any relation with the 2-body problem you mentioned.
In Kaon-Antikaon oscillations you have a Kaon transforming to Antikaon (K^0 \rightarrow \bar{K}^0).

Tasnim Farhan said:
I can't understand properly where should I look for
I guess the wikipedia can give you some information. From then on, you can google search or ask.
Anything undergrad about CP-violation will mention stuff about the Kaon-Antikaon oscillations.
 
Kaon-Antikoan oscillation is often used as an example of a real-world two-state system.
 
Simon Bridge said:
Kaon-Antikoan oscillation is often used as an example of a real-world two-state system.
how?
 
You have two states, and transitions between them if your chosen basis are not the mass eigenstates.
 
The neutral kaon may be a particle or an antiparticle... whether it is a particle or an antiparticle may be considered a state of the system consisting of a single neutral kaon. It's something you can measure.

In QM terms, you can imagine an operator that measures the particle-antiparticle state of the neutral kaon ... the trouble with any of us going further is that "finding out about the neutral kaon oscillations" is the task you have been set. If we just tell you, that would amount to "doing your homework for you" which would defeat the purpose of assigning you the work in the first place. There is a great benefit to you in learning to carry out this sort of research without knowing initially where to start or what you will discover. Indeed: only if you are willing to search into the unknown can you be a scientist. Go for it!

Have you followed advise received so far and looked at the wikipedia page or searched your college library for information?

If you do not follow advise, we cannot help you.
 
  • #10
mfb said:
You have two states, and transitions between them if your chosen basis are not the mass eigenstates.

Sorry; I interpreted the "two-state system" as "two-body system" (in connection to my previous answer/post).
 
  • #11
A very good treatment in terms of the Wigner-Weisskopf approximation (which anyway any good undergrad QM course should treat in the context of time-dependent perturbation theory) can be found in

O. Nachtmann, Elementary Particle Physics - Concepts and Phenomena, Springer

It's a marvelous textbook on the advanced undergrad level.
 

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