Physics

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A community for all things physics!

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Thoughts on the mathematics behind quantum mechanics (iusearchlinux.fyi)

submitted 2 years ago by [email protected] to c/[email protected]

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Let me preface this by saying I am not at all well versed in QM, but I've just recently finished a course that took us through most of Griffiths and I have some thoughts.

The thing that blows me away the most about QM isn't necessarily all the standard "weirdness", like tunneling and superposition and whatever, but rather that all of this weirdness can be accurately described by (mostly) pre-existing mathematics. Linear algebra was a growing, but already established field, and the concept of abstract linear vector spaces, and later Hilbert space, came just before and evolved alongside QM.

The fact that we discovered a mathematical language before finding out what that language could describe just blows my mind. I understand this isn't the first time the maths came before the physics, but considering how groundbreaking and unintuitive the theory is I think that fact is quite exceptional. Even more so is that we can use this mathematical formalism to derive physically observable phenomena. I don't know if you get what I mean, but wow. I think that's nuts haha

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[–] [email protected] 4 points 2 years ago (1 children)

Yeah I agree, it's pretty incredible. I am no mathematician, in fact I'm pretty far from one, so it often blows my mind that there are/were people out there than can read through the numbers and make deep connections between seemingly abstract mathematics and physical reality. I've found that I generally approach physics intuitively, meaning I try to intuitively understand a system before deciding on what relevant maths or concepts I'll need to solve/quantify the system. I think that stands in contrast to those who start with the mathematics, and maybe tease out an intuitive understanding ex post facto.

Also, nice username!

[–] [email protected] 2 points 2 years ago

I am right there with you, I use math but I develop an intuitive understanding of the system generally. And thanks re: username! I work in nuclear materials.