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

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Discussion Overview

The discussion revolves around the decision of whether to take Quantum Mechanics (QM) or Quantum Field Theory (QFT) as a graduate course in physics, particularly for a student interested in Condensed Matter Theory. The scope includes considerations of foundational knowledge versus immediate research applicability.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Exploratory

Main Points Raised

  • One participant expresses uncertainty about whether to prioritize solidifying fundamental knowledge in QM or to focus on QFT to enhance research opportunities.
  • Another participant suggests that filling in knowledge gaps becomes more challenging over time, implying the importance of a strong foundation.
  • A different viewpoint advocates for taking QM first, emphasizing the need for a solid foundation before tackling QFT and suggesting that research advisors can provide necessary guidance on field theoretic methods.
  • Another participant supports the idea of taking QM first, highlighting the importance of being comfortable with concepts like second quantization and perturbation theory before progressing to QFT.

Areas of Agreement / Disagreement

Participants generally agree on the importance of a strong foundational knowledge in QM before advancing to QFT, but there are differing opinions on the urgency of preparing for research versus solidifying understanding of fundamental topics.

Contextual Notes

The discussion reflects varying perspectives on the balance between foundational learning and immediate research readiness, with no consensus on the optimal course selection.

rwturner
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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!
 
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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.
 

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