Undergraduate Math for Quantum Optics vs Particle Physics

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SUMMARY

Undergraduate students preparing for graduate studies in Quantum Optics or Particle Physics should focus on advanced mathematics courses beyond the standard physics curriculum. Essential courses include Partial Differential Equations (PDEs), Advanced Statistical Theory, and potentially numerical analysis. While both fields share a similar mathematical foundation, additional statistics may benefit those pursuing Quantum Optics. A dual major or minor in mathematics is advisable for a comprehensive understanding of the required mathematical tools.

PREREQUISITES
  • Calculus I, II, III
  • Ordinary Differential Equations (ODE)
  • Partial Differential Equations (PDE)
  • Advanced Statistical Theory
NEXT STEPS
  • Research the role of numerical analysis in experimental physics
  • Explore the applications of Advanced Statistical Theory in Quantum Mechanics
  • Investigate additional mathematics courses beneficial for Particle Physics
  • Consider dual majoring in Mathematics to enhance your toolkit
USEFUL FOR

Undergraduate students majoring in physics, aspiring graduate students in Quantum Optics or Particle Physics, and anyone seeking to strengthen their mathematical foundation for advanced studies in these fields.

PManslaughter
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I'm halfway through my junior year and I'm hoping to do Quantum Optics or Particle Physics in graduate school (I'm doing the recommended courses for both since I'm still undecided).

Besides the math required from the physics major (ie. Calculus, linear algebra, ODEs, PDEs, complex analysis), what advanced math courses should I take for each respective field (Quantum Optics and Particle Physics)?
 
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Don't think the two fields have strongly different accents in this respect (*) ; your toolkit is already quite impressive. If you want to go the experimental way, some numerical analysis is good to have. (Perhaps for theoreticans too, but I don't really know :smile: )

(*) do they differ math wise in your 'recommend' list ?
 
BvU said:
your toolkit is already quite impressive.

Well, my toolkit isn't entirely full; I'll be doing PDEs next semester.

BvU said:
Don't think the two fields have strongly different accents in this respect (*)

(*) do they differ math wise in your 'recommend' list ?

That's the problem; the recommended courses for each field only lists physics courses, no math. Which is why I'm asking for people's insight/advice.
 
I'm not in advanced classes for physics yet, but I've discussed what math classes are good to take for a physics major with one of my professors. For some reason at the university I plan to attend after college, they only really have four required math classes, Calculus I, II, III and ODE, for a physics major. But if you want to be good with physics you should take more than that, so I'm probably going to be doing a dual major in mathematics or get a minor in math.

My professor told me he wished he had taken more statistics classes, like Advanced Statistical Theory. I've read that Probability and Statistics classes can help you with, but are not necessary for, Quantum Mechanics classes and the like. So if you go the Quantum Optics route, maybe taking some advanced Statistics and Statistical theory could help?

Again, just a suggestion, I'm only in my sophomore year right now. :P
 

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