Courses QM or QFT: Which course should I take for grad school in physics?

  • Thread starter Thread starter rwturner
  • Start date Start date
  • Tags Tags
    Course Strategy
AI Thread Summary
Starting graduate school in physics at UIUC raises a critical decision regarding course selection between Quantum Mechanics (QM) and Quantum Field Theory (QFT). For those aiming to specialize in Condensed Matter Theory, taking QM first is often recommended to solidify foundational knowledge. A strong grasp of QM is essential, as it provides the necessary background for advanced topics in QFT. While QFT may seem attractive for research opportunities, especially in summer positions, a solid understanding of QM concepts like second quantization, quantum statistical mechanics, and perturbation theory is crucial. The consensus suggests that focusing on mastering fundamental topics during the first year will better prepare students for future research, while also allowing them to engage with potential advisors who can guide them in areas that may not require extensive prior knowledge of QFT.
rwturner
Messages
2
Reaction score
0
I'm starting grad school in physics at UIUC this fall and I'm really agonizing over course selection. In particular I'm not sure whether to take Quantum Mechanics or Quantum Field Theory.

I want to do Condensed Matter Theory, and learning QFT would probably make it easier to find someone to work for during my first summer. But I've only had one year of QM, and looking over lectures from previous years, I would certainly learn some new physics in the graduate course. I think QM would be fairly easy because I have a good background in the relevant math and I've been studying Shankar all summer as Qual preparation (UIUC uses Shankar for graduate QM, and also Baym, which seems somewhat more advanced.) But I also think that I could succeed in the QFT course - I'm just worried about later being blindsided by some basic QM topic that I skipped over...

I guess what I really want to know is if I should think of my first year as a time to really solidify my knowledge of fundamental topics, or if I need to be gearing all my decisions towards being a useful researcher as soon as possible.

Thanks for any advice!
 
Physics news on Phys.org
Filling in the gaps does not become easier with time.
 
Take QM. You should think of your first year as a time to make sure your foundation of knowledge is strong. Approach potential research advisors still, though - just because field theoretic methods are hot doesn't mean that's all there is, and also you might not need to know more than they can give you a quick tutorial on to think about a project.
 
Another vote for QM before QFT. It's useful to be really comfortable with second quantization, some quantum stat mech and perturbation theory before jumping into QFT. Presumably you will also pick up useful math skills (transforms, contour integrals and analytic continuation, etc.) along the way, during your first year.
 
TL;DR Summary: I want to do a PhD in applied math but I hate group theory, is this a big problem? Hello, I am a second-year math and physics double major with a minor in data science. I just finished group theory (today actually), and it was my least favorite class in all of university so far. It doesn't interest me, and I am also very bad at it compared to other math courses I have done. The other courses I have done are calculus I-III, ODEs, Linear Algebra, and Prob/Stats. Is it a...
I’ve been looking through the curricula of several European theoretical/mathematical physics MSc programs (ETH, Oxford, Cambridge, LMU, ENS Paris, etc), and I’m struck by how little emphasis they place on advanced fundamental courses. Nearly everything seems to be research-adjacent: string theory, quantum field theory, quantum optics, cosmology, soft matter physics, black hole radiation, etc. What I don’t see are the kinds of “second-pass fundamentals” I was hoping for, things like...

Similar threads

Replies
4
Views
206
Replies
43
Views
6K
Replies
3
Views
2K
Replies
6
Views
3K
Replies
8
Views
2K
Replies
1
Views
1K
Replies
15
Views
7K
Replies
4
Views
2K
Back
Top