The notes of a lecture on basic group and representation theory I attended last semester begin with a bit of motivation for the argument. They give the following examples for applications in physics:
Unfortunately, we were didn't get to treat any of the examples above. I am really interested in this kind of stuff, though, and I was wondering if there is some book or other reference with a purely group representation theoretical of similar topics in physics. Mainly I am interested in the following examples:
- How is the shape of the Maxwell and Einstein equations dictated by symmetries?
- What information can be found about the hydrogen atom by looking at its symmetries?
- I have been told that spin also arises from some symmetry. How so?
Thank you in advance for any directions you can give me.