Mathematical Foundations of Quantum Physics for High School Students

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Homework Help Overview

The discussion revolves around the mathematical foundations necessary for understanding quantum physics, particularly aimed at high school students. Participants express their interests in both mathematics and quantum physics, seeking guidance on the mathematical prerequisites for studying the subject.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants share their current mathematical knowledge and express their aspirations to learn more about the mathematics involved in quantum physics. Some suggest specific areas of mathematics, while others reflect on the time commitment required to grasp quantum mechanics.

Discussion Status

The discussion is ongoing, with various participants offering insights into the types of mathematics they believe are relevant. There is an acknowledgment of the challenges involved in studying quantum physics, and some participants express encouragement towards each other's educational pursuits.

Contextual Notes

Some participants mention their current level of mathematical study, including multi-variable calculus and basic calculus, indicating a range of experience among those interested in quantum physics. There is a sense of uncertainty about the feasibility of learning quantum mechanics in a short time frame.

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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