What are the prerequisites to studying quantum mechanics?

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SUMMARY

To study quantum mechanics (QM), high school students should have a solid foundation in Physics and Calculus, along with courses in Statistics and Algebra. Understanding classical mechanics and basic concepts of general relativity is also beneficial. Students are advised to avoid pop-science sources that may misrepresent QM's complexities. Mastery of mathematics as a language is crucial for grasping advanced QM concepts.

PREREQUISITES
  • Physics fundamentals, including classical mechanics and general relativity
  • Calculus up to Calculus 2
  • Statistics and Algebra knowledge
  • Basic understanding of real/complex analysis and linear algebra
NEXT STEPS
  • Study advanced topics in Calculus, such as multivariable calculus
  • Learn linear algebra concepts relevant to quantum mechanics
  • Explore introductory texts on quantum mechanics, focusing on mathematical formulations
  • Research the principles of quantum entanglement and wave function collapse
USEFUL FOR

This discussion is beneficial for high school students interested in pursuing quantum mechanics, educators seeking to guide students, and anyone looking to strengthen their foundational knowledge in physics and mathematics before tackling advanced QM topics.

John_Diala
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Hi. I'm currently in high school, and ever since my physics teacher brought up quantum mechanics, I've been highly intrigued by it. I understand (at least I think I do!) the general basics of it, like Schrödinger's cat, wave function collapse and quantum entanglement, but I don't understand the harder concepts. Any ideas on where I should start, both in mathematics and physics? I can do calculus up to calc 2 and conceptually understand some parts of real/complex analysis and linear algebra, and for physics I think I understand classical mechanics and the basic concepts of general relativity, but other than that, I'm lost.

(Yes, I'm a bit of nerd if you hadn't already noticed. lol).

EDIT: I just realized I should have posted this in the qm section. My bad.
 
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Welcome to PF;
Students do not normally specialize in QM until their second year at University.

The more practiced you are at using math as a language the better though.

At senior HS level, you will need Physics, and Calculus as a minimum.
You should also take Statistics and Algebra courses.
Don't sweat it though - you only need to be "grounded" in these subjects, you don't have to be a wizz.

Beware of pop-sciencey sources or anyone who wants to show how QM is weird and counter-intuitive: they tend to try too hard to emphasize the "woo-wee" factor at the expense of the science.
 
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