Want to learn about quantum physics - where to start?

AI Thread Summary
A newcomer to the forums expresses a keen interest in quantum physics, seeking resources to deepen their understanding beyond documentaries. They emphasize the importance of avoiding entertainment-based portrayals of science, highlighting that such shows often lack scientific rigor. Recommendations focus on foundational mathematics essential for grasping quantum mechanics, particularly vector spaces, matrices, and eigenvalues. The discussion acknowledges the complexity of quantum mechanics, noting that many concepts are either ambiguous or laden with mathematical jargon, making it crucial for learners to develop skills in translating this language for better comprehension.
caibbor
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I'm new to the forums, so first of all, hello!

I am a life-long computer scientist and most of my scientific knowledge revolves around that. I have recently found myself attracted to the fascinating world of quantum physics. I'm currently watching whatever documentaries I can about it, but that obviously doesn't really cover much of the real mathematics and chalk-board proofs behind it. That is, if quantum physics actually involves mathematics since it's about randomness and unpredictability and... so you see, I'm a total newb to this stuff.

I know hardly anything about quantom physics or physics in general and would like to change that. What books, websites, articles, etc., would you recommend?
 
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The only really good recommendation I can give you is DO NOT DO NOT DO NOT take TV shows seriously. They are very entertaining and often have really nifty pictures and graphics, but they are entertainment not science.
 
I made a list of math topics for QM here.

Some people said my list is overly ambitious, and those people might be right. It was originally meant for a mathematics major who wanted to do graduate work in quantum information theory. I do think this is essential advice for anyone learning QM, though:

The biggest problem with quantum mechanics is that almost every statement is either 0) ambiguous or 1) full of math jargon. So it's very important to know how to translate the math jargon.

In particular, I think every sensible statement I've ever read in QM was written in the language of vector spaces, matrices, and eigenvalues.
 
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...
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...

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