A good bachelor project problem in classical field theory

[FrederikPhysics]

Hey,

I am about to do my bachelor project in physics and I really want to dive into the classical theory of fields, this could be General Relativity (GR) and/or Electrodynamics (ED). I have some books on the subject: Barut, ED and classical theory of fields and particles, and Landau&Lifshitz, The classical theory of fields.

I am seeking some problem/subject that my project can revolve around. Any suggestions?

I am a physicist with all my optional courses in mathematics. I have had 2 courses on E&M/ED, one course on Special Relativity and no exposure of GR. This summer I did a good amount of research on the variational principle approach to electrodynamics by following L.Susskinds lectures on SR and read the basics of Goldstein Classical Mechanics.

Vh. Frederik.

 

[TonyG]

Dear Frederik,

First of all, congratulations on choosing such a fascinating and challenging topic for your bachelor project! The classical theory of fields, including General Relativity and Electrodynamics, is a vast and complex subject with many interesting avenues for exploration.

Based on your background in mathematics and exposure to E&M and Special Relativity, I would suggest focusing on a problem that combines elements of both these fields. One idea could be to investigate the classical theory of electromagnetic waves in curved spacetime, which is a key concept in both GR and ED. This would allow you to explore the interplay between gravity and electromagnetism, and how they affect the propagation of light.

Another possibility could be to delve into the mathematical formalism of the classical theory of fields, particularly the variational principle approach that you have already researched. You could explore the historical development of this approach and its applications to different physical systems, such as electromagnetic fields and gravitational fields.

Alternatively, you could choose to focus specifically on General Relativity and investigate a specific aspect or application of this theory. For example, you could study the classical tests of GR, such as the precession of Mercury's orbit or the deflection of light by massive objects, and explore their implications for our understanding of gravity.

Overall, my advice would be to choose a problem or subject that truly interests you and that you feel passionate about exploring further. The classical theory of fields is a vast and fascinating field of study, and I am sure that with your background and enthusiasm, you will find a project that will challenge and inspire you.

Best of luck with your project!