Need help getting started with QM

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Discussion Overview

The discussion centers around the initial steps for learning Quantum Mechanics (QM), particularly focusing on the necessary mathematical background and accessible resources for beginners. Participants share their experiences and suggest potential pathways for someone new to the subject.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Homework-related

Main Points Raised

  • One participant expresses enthusiasm for QM after reading a popular science book and seeks guidance on the mathematical prerequisites for deeper understanding.
  • Another participant mentions that basic QM courses typically require knowledge of calculus, differential equations, complex analysis, linear algebra, and special functions.
  • A different participant notes that understanding the six axioms of QM requires a significant amount of mathematical preparation.
  • One contributor suggests that advanced calculus, linear algebra, Fourier analysis, complex analysis, and a basic understanding of probability are important for studying QM.
  • A participant indicates that they are still working through high school mathematics and expresses interest in recommendations for more accessible books on QM.

Areas of Agreement / Disagreement

Participants generally agree that a solid mathematical foundation is necessary for understanding QM, but there is no consensus on a specific level of math required or on particular book recommendations suitable for beginners.

Contextual Notes

Some participants express uncertainty about quantifying the level of math needed for QM, and there are varying opinions on what constitutes accessible literature for those with limited mathematical background.

Who May Find This Useful

This discussion may be useful for individuals interested in starting their journey in Quantum Mechanics, particularly those seeking guidance on mathematical prerequisites and accessible reading materials.

The Rev
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I just got done reading Gribbin's "In Search of Schrödinger's Cat" and I am hooked! Quantum Mechanics is one of the most evocative and fascinating subjects I have ever come across, and I would like to learn a lot more about it. The only problem is, I don't know enough to know where to start.

My questions are, what level of math do I need to gain the greatest understanding of QM?

and,

What are some books that are more detailed and comprehensive than Gribbin, which I can study to learn more, but are still somewhat accessible to someone who still lacks the math to really dig into QM?

Thanks for you help.



The Rev
 
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1: here's a couple of threads about math and QM: https://www.physicsforums.com/showthread.php?t=69664&page=1&pp=15&highlight=math
https://www.physicsforums.com/showthread.php?t=69846&highlight=math

You can get an good idea about what's needed just for the basics in those. To get to the bottom of the whole field you need very very good and broad selection of mathematical skills and knowledge. Way broader than mine. Basic QM courses in theoretical physics usually require you to know calculus, differential equations, complex analysis, linear algebra and special functions.

2: I really can't recommend anything since I don't know how good your math skills are.
 
You'd know quite a bit of math,if u were to understand the 6 axioms...I've had almost a semester of maths preparation for the an understanding of the 6 axioms...

Daniel.
 
The Rev said:
I just got done reading Gribbin's "In Search of Schrödinger's Cat" and I am hooked! Quantum Mechanics is one of the most evocative and fascinating subjects I have ever come across, and I would like to learn a lot more about it. The only problem is, I don't know enough to know where to start.

My questions are, what level of math do I need to gain the greatest understanding of QM?
I'm sorry but I don't know how to quantify the math you need into "levels." However if you look here

http://www.geocities.com/physics_world/qm/qm.htm

you'll get a good idea. Basically that math used is at the level of advanced calculus, linear algebra, Fourier analysis, complex analysis and a rudimentary understanding of probability would help.

Pete
The Rev[/QUOTE]
 
From all of your posts, I can see that it'll be awhile before I have the math chops to really dig into the grit of Quantum Mechanics. I'm still getting through the High School stuff (Algebra, Geometry, Trig), so I see myself reading popularized books like Gribbin's for the foreseeable future.

Would anyone care to make a book recommendation for a layman?

[tex]X[/tex]

The Rev
 

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