Getting Into Quantum Physics: Is It Difficult?

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Discussion Overview

The discussion revolves around the perceived difficulty of entering the field of quantum physics, particularly focusing on the mathematical prerequisites and whether individuals without extensive mathematical backgrounds can manage the subject. Participants also explore potential introductory resources.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Homework-related

Main Points Raised

  • Some participants suggest that the difficulty of quantum physics largely depends on one's mathematical background, questioning what constitutes an "experienced mathematician."
  • Mathematical topics mentioned include linear algebra, Fourier analysis, complex analysis, differential equations, and partial differential equations, particularly in relation to Schrödinger's Equation.
  • One participant shares their experience of finding the mathematics manageable, noting that many derivations involve non-intuitive methods that can lead to solutions through clever manipulations.
  • Complicated integrals are acknowledged as part of the mathematics involved, but the use of computational tools like Mathematica is mentioned as a way to assist with these challenges.
  • Another participant expresses concern about the intimidating nature of the mathematics in recommended books, specifically mentioning "Quantum Mechanics Demystified."
  • A suggestion is made for a book titled "The Strange World of Quantum Mechanics" by Daniel F. Styer as a potentially accessible resource.

Areas of Agreement / Disagreement

Participants generally agree that the difficulty of quantum physics is subjective and contingent on individual mathematical experience. However, there is no consensus on the best introductory resources or the level of mathematical knowledge required.

Contextual Notes

Participants express varying levels of comfort with the mathematics involved, highlighting that assumptions about prior knowledge can significantly influence perceptions of difficulty. The discussion does not resolve the question of which resources are best suited for beginners.

Liger20
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Hey, I've been thinking about getting into quantum physics, and I just wanted to ask whether it's very difficult or not. What does the mathematics involve? Is it something that someone other than an experienced mathematician can handle? Maybe I should check out relativity first...
 
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Liger20 said:
Hey, I've been thinking about getting into quantum physics, and I just wanted to ask whether it's very difficult or not. What does the mathematics involve? Is it something that someone other than an experienced mathematician can handle? Maybe I should check out relativity first...


It's the question what you understand by an "experienced mathematician" ;)
The mathematics involved are linear algebra ( you're working with linear operators ), fourieranalysis ( you're working with waves in Hilbert-spaces) and some complex analysis ( the wave functions are complex ). The difficulty depends largely on your background.
 
haushofer said:
It's the question what you understand by an "experienced mathematician" ;)
The mathematics involved are linear algebra ( you're working with linear operators ), fourieranalysis ( you're working with waves in Hilbert-spaces) and some complex analysis ( the wave functions are complex ). The difficulty depends largely on your background.

also add Differential Equations, and Partial Differential Equations (Schrödinger's Equation), but that's pretty much correct from my experience. I took 2 Quantum Mechanics courses so far, so I'm not too far in, but generally I didn't find the math to be very demanding. The biggest problem I had is that a lot of the derivations and examples we were given consisted of lots of weird ways of doing non-intuitive things to get your answer. For example... you are stuck, but if you note that you can add and subtract the same thing, suddenly you are done! or if you have |r|, that can actually be |r*e^ix| for ANY real x because magnitude of that e^ is always 1 so it's fine... small tricks like that from my experience get you very far. It also involves a lot of quite complicated integrals. But we now have ways of handling that with mathematica and things like that.

I still like it though... it really depends how much experience you have with maths, because there is a lot of it... (just like in any other physics course really)
 
If you were going to recommend a book on this subject, that doesn't have much assumed knowledge as far as the mathematics goes, what would you reccommend?
I looked at Quantum Mechanics Demystified, looked inside the book, but I found the math pretty intimidating.
 
Liger20 said:
If you were going to recommend a book on this subject, that doesn't have much assumed knowledge as far as the mathematics goes, what would you reccommend?

The Strange World of Quantum Mechanics by Daniel F. Styer.
 

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