Getting started with Quantum Mechanics??

Diffy Q
Linear Algebra
Some real analysis

One thing you will also need that isn't math is a solid understand standing of EM

Calculus 1 and trigonometry

Nigger what? You understand the difference between complex functions of a real variable and complex functions of a complex variable right?

Not that guy but:
>Grenier "Quantum Mechanics: An Introduction"
>Griffiths "Introduction to Quantum Mechanics"
This is a pretty standard text for a first course used all over the world, a lot of autists on Veeky Forums don't like it for various reasons. Personally I find their criticisms lacking a sound basis, and most of the world's physics departments agree with me. Not to say it doesn't have some problems, the chapters on time dependent perturbation theory and scattering are both pretty terrible. But over all it's descent as an introduction.
>Townsend "A Modern Approach to Quantum Mechanics"
I've only recently read this book (and then only part of it) but I think I prefer it to the other two. It starts with a discussion of the Stern-Gerlach experiment and then uses that to immediately explore the Dirac notation, before talking about matrix mechanics. Wave mechanics doesn't get mentioned until chapter 6. And has an introduction to the path integral approach. Certainly nonstandard, but I think it might be much better than the standard approach taken by, say, Griffiths.
>Ballentine: "Quantum mechanics: A Modern development"
Similar to the above but a much more in depth and "rigorous" approach.

We are thinking of the same subject right? As in Real Analysis, the theory of functions of a real variable, as in Rudin and the like? Because if it is: then yes, its completely irrelevant to even a detailed study of QM. It might come in handy if you want to study some the ancillary subjects to QM, but otherwise completely unnecessary.

>As in Real Analysis, the theory of functions of a real variable, as in Rudin and the like? Because if it is: then yes, its completely irrelevant to even a detailed study of QM.

Topkek. You need to be well versed in Real Analysis, at the level papa rudin, to properly do functional analysis. And you need to be well versed in functional analysis, to properly do quantum mechanics.

Wrong.
When you start qm, you're solving linear wave equations.

You don't do 3+ particles, you don't do outside forces.
Even then, you solve numerically and spend most of your time learning shortcuts.

I didn't say to solve intro level QM problems, I said to properly learn QM. i.e. The full theory.

That involves Hilbert Spaces, Probability Measures (and therefore Lebesgue Integration), Operator theory(a lot of Spectral theory), etc.

>And you need to be well versed in functional analysis, to properly do quantum mechanics.

Spoken like a true undergrad. You really don't need functional analysis, seriously check out any book from undergraduate to graduate, not a single one will have a chapter dedicated to functional analysis. That's because all the pathological case that arise I'm the study of infinite vector spaces are assumed to not appear in physics. Because of that you can pretty much just fall back on standard linear algebra. Hell even at the level of QFT you'll only ever be using the functional derivative. Even rigours mathematical physics texts don't cover functional analysis. You certainly could learn it, and you might get a deeper understanding (I really doubt it, though) but you could be diverting your time away from something that could be much more useful (group theory comes to mind). Please stop user, you clearly have no clue.

That's not what the thread is about.

You clearly don't even know how much you don't know.

That's funny because I was thinking the same thing about you.

Please describe to me how you would quantize a general classical mechanical system.

Literally how the fuck are you gonna do even some basic study case like the fine structure of the hydrogen atom without functional analysis?