How to know if foundation is strong enough

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SUMMARY

The discussion centers on the qualifications and foundational knowledge required for pursuing a PhD in physical chemistry or condensed matter physics. The participant, a chemistry major, expresses concerns about their understanding of key concepts such as Lagrangian and Hamiltonian mechanics and Maxwell's equations. Professors and graduate students affirm that the participant possesses more knowledge than they realize and that having a degree qualifies them for graduate school. The participant plans to pursue a physics major to strengthen their mathematical skills and explore potential graduate school options.

PREREQUISITES
  • Understanding of Lagrangian and Hamiltonian mechanics
  • Familiarity with Maxwell's equations
  • Basic knowledge of spectroscopy
  • Foundational concepts in condensed matter physics
NEXT STEPS
  • Research the differences between regular physics and applied physics graduate programs
  • Explore the distinctions between condensed matter physics and AMO (Atomic, Molecular, and Optical) physics
  • Learn advanced mathematical techniques used in physics, particularly those relevant to spectroscopy
  • Investigate the prerequisites and expectations for PhD programs in physical chemistry and condensed matter physics
USEFUL FOR

Undergraduate students in chemistry or physics, prospective graduate students in physical chemistry or condensed matter physics, and anyone seeking to strengthen their foundational knowledge before pursuing advanced studies in these fields.

flemmyd
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I'm a chem major in a similar situation as this fellow
https://www.physicsforums.com/showthread.php?t=422136

Anyway, I've completed the chemistry degree and am looking to do graduate school in physical chemistry/condensed matter physics (something I need to figure out is what's up with all these labels... and what I want to do specifically).
Talking to my professors and some graduate students, they've echoed two things:
1. "you know more then you realize"
2. "you have a degree, you're eligible for graduate school"

What I have trouble with is the idea that someone (ie me) who doesn't understand the difference between Lagrangian and Hamiltonian mechanics or has never used maxwell's equation (im interested in spectroscopy) could be starting a phd program.
At the same time though, I realize a great deal of phd work involves learning how to learn how to learn, and not just learning stuff.
So how do you know when you have a strong enough foundation? Obviously, there will always be something I don't know walking to a phd program (and even leaving it), but how does one gauge their standing?

Right now, I've penciled myself into stay my last years and pick up a physics major for two reasons:
1. to learn more math. specifically, the math taught in physics classes.
2. in case I want to go to physics graduate school instead of chemistry.
Anyone have any opinions?

also side questions:
whats the difference between regular physics and applied physics graduate school? I can still do research in condensed matter-ish areas and the classes are the same, what's up?

is there a clear distinction between condensed matter and AMO physics?
 
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bumppp? anyone? is this possibly in the wrong forum?
 

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