Lie groups & Lie Algebras in Nuclear & Particle Physics

In summary, the speaker is a student of Nuclear Engineering at the University of Dhaka and is working on a thesis on the application of Lie groups and Lie algebras in Nuclear and Particle Physics. They are seeking guidance on their thesis topic and are recommended to read "Lie Algebras in Particle Physics" by H. Georgi and to also research Yang-Mills theory.
  • #1
abs.manik
2
0
Hi,
I'm a student of Nuclear Engineering (MS level) at University of Dhaka, Bangladesh. I completed my Honours and Master Degree with Mathematics. I have chosen to complete a thesis paper on "Application of Lie groups & Lie Algebras in Nuclear & Particle Physics."

I need some guideline about my thesis work from experienced guys like you. Please suggest me about this title. How can I adorn my paper with useful material? Which topics should I describe or include in my paper. Please, whoever knows a little or more about my title, leave your valuable comment or suggestion.

Thanks in advance,
Manik
 
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  • #2
You should read "Lie Algebras in Particle Physics" by H. Georgi. In my opinion is one of the best books on group theory for physicist.
However, one of the most famous application of Lie groups in physics is represented by Yang-Mills theory. You should definitely take a look at something on that.
 

Related to Lie groups & Lie Algebras in Nuclear & Particle Physics

1. What are Lie groups and Lie algebras?

Lie groups and Lie algebras are mathematical structures that are used to describe symmetries in physics. Lie groups are continuous groups of transformations that preserve the structure of a mathematical object, while Lie algebras are the corresponding vector spaces that describe the infinitesimal generators of these transformations.

2. How are Lie groups and Lie algebras used in nuclear and particle physics?

Lie groups and Lie algebras are used to study the symmetries of nuclear and particle systems. In particular, they are used to describe the symmetries of the fundamental interactions, such as the strong, weak, and electromagnetic forces. This allows physicists to make predictions about the behavior of these systems and to develop theories that can be tested through experiments.

3. What is the significance of Lie groups and Lie algebras in quantum mechanics?

Lie groups and Lie algebras play a crucial role in quantum mechanics as they provide a mathematical framework for understanding the symmetries of quantum systems. These symmetries are related to the conservation laws in quantum mechanics, and the use of Lie groups and Lie algebras allows for a deeper understanding of the underlying physical principles.

4. Are there any applications of Lie groups and Lie algebras outside of physics?

Yes, Lie groups and Lie algebras have applications in various fields such as mathematics, computer science, and engineering. They are used to study differential equations, control theory, and robotics, among others. In fact, the use of Lie groups and Lie algebras in physics has inspired many developments in other disciplines.

5. How can one learn more about Lie groups and Lie algebras in nuclear and particle physics?

There are various resources available for learning about Lie groups and Lie algebras in nuclear and particle physics. One can start by studying introductory textbooks on group theory and quantum mechanics, and then move on to specialized books and research papers on the topic. Online lectures and courses are also available for those who want to learn more about this subject.

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