Mathematical Foundations of Quantum Physics for High School Students

AI Thread Summary
To understand quantum physics, high school students should focus on mastering differential equations, both ordinary and partial, as well as orthogonal functions, Fourier transforms, complex variables, and linear algebra. These mathematical foundations are essential for tackling quantum mechanics effectively. Students acknowledge the challenge of learning this material, suggesting that a few years of study may be necessary before fully grasping quantum concepts. Many express a desire to gain a head start in their mathematical education to prepare for college-level physics. A supportive atmosphere is evident among students pursuing similar interests in theoretical physics.
KJB
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Hi, I am a 16 year old high school student. I am really interested in Maths and its my passion.

I am also really interested in Quantum Physics and I would just like to know a list of what type of Maths (eg. Differential Calculus) I would need to learn to understand it.

I just need a list so I can learn it in my spare time.

Thanks,
KJB
 
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Definitely differential equations, both ordinary and partial. Orthogonal functions, Fourier transforms, complex variables, and a mastery of linear algebra. That will get you ready to tackle it.
 
I'm 15 and only doing multi-variable calculus, and physics. If you think you can tackle quantum mechanics in your spare time it might take a few years first (iff you're a prodigy you'll probably be able to do it).
 
Cbray said:
I'm 15 and only doing multi-variable calculus, and physics. If you think you can tackle quantum mechanics in your spare time it might take a few years first (iff you're a prodigy you'll probably be able to do it).

Yeah I'm not extremely smart but I'm looking at doing it for college/university so I am just trying to learn a bit of the math to give me a little bit of a head start.
 
KJB said:
Yeah I'm not extremely smart but I'm looking at doing it for college/university so I am just trying to learn a bit of the math to give me a little bit of a head start.

Me too, I'm interested in theoretical physics, I'll either go into theoretical astrophysics, or theoretical particle physics. Good luck
 
Cbray said:
Me too, I'm interested in theoretical physics, I'll either go into theoretical astrophysics, or theoretical particle physics. Good luck

Thanks mate, good luck to you too, you're already learning multi-variable calculus at 15. I'm only learning like basic calculus. You got a bright future man :)
 

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