Tips on learning quantum mechanics

Click For Summary

Discussion Overview

The discussion revolves around recommendations for learning quantum mechanics, including suggested books, necessary mathematical background, and the approach to understanding the subject. Participants share their experiences and insights on how to effectively study quantum mechanics, considering both theoretical and practical aspects.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Homework-related

Main Points Raised

  • One participant seeks recommendations for books or articles on quantum mechanics.
  • Another suggests Leonard Susskind's "Quantum Mechanics The Theoretical Minimum" as a good starting point.
  • Several participants inquire about the original poster's mathematical background, emphasizing its importance for studying quantum mechanics.
  • A participant argues that focusing on the mathematics of quantum mechanics is more beneficial than engaging in debates about interpretations, noting that some concepts are accepted without question despite their abstract nature.
  • Another participant advises against jumping straight into quantum mechanics without prior exposure to physics, suggesting a gradual approach through foundational texts.
  • One participant shares their self-taught background in algebra, geometry, and calculus, expressing a desire for structured learning in advanced topics.
  • A recommendation is made to study various textbooks in a specific order, highlighting the importance of understanding partial differential equations for quantum mechanics.

Areas of Agreement / Disagreement

Participants generally agree on the importance of a solid mathematical foundation for studying quantum mechanics, but there is no consensus on the best approach or specific resources, as different viewpoints and recommendations are presented.

Contextual Notes

Some participants emphasize the necessity of understanding advanced mathematics, such as partial differential equations, while others suggest starting with more accessible texts. There is also a recognition of the abstract nature of quantum mechanics concepts, which may not have direct macroscopic analogs.

Who May Find This Useful

This discussion may be useful for individuals beginning their studies in quantum mechanics, those seeking guidance on mathematical prerequisites, and learners looking for book recommendations and study strategies.

Rockey
Messages
2
Reaction score
0
I'm just starting my journey into physics. I am looking for good quantum mechanics books or articles if anyone has some ideas be sure to let me know.
 
Physics news on Phys.org
Leonard Susskind's book: Quantum Mechanics The Theoretical Minimum might be a good light start.
 
What math do you know already - algebra? trigonometry? single-variable calculus? multi-variable calculus? differential equations? linear algebra?
 
While reading the various posts here on PF over times that deal with "interpretations" of quantum physics, I got the impression, that it is best to concentrate on the mathematics behind the models and less - or better not at all - about any comparisons with macroscopic similarities. Apparently one can always find aspects, at which they are doomed to fail, regardless which interpretation one favors. Funnily enough, nobody seems to bother that we cannot really imagine the shape of a unitary group or operator, or an infinite dimensional Hilbert space either. Those concepts are taken for granted and nobody is arguing over their "reality". However, as soon as it comes to wave functions, various debates get started. So my 2 ct are: don't bother "reality", take the math instead and always remember, that nobody has ever seen a "real" circle, but this doesn't prevent us from dealing with them.
 
In addition to what jtbell asked, have you had any previous exposure to physics? You mentioned you are just starting your journey in physics. It may not be a good idea to jump straight into quantum mechanics.

We need to know your math background as well as any exposure to physics you have had.
 
jtbell said:
What math do you know already - algebra? trigonometry? single-variable calculus? multi-variable calculus? differential equations? linear algebra?

The level and background are important. The Feynman Lectures is probably the most accessible treatment for a wide range of backgrounds.
 
I have a good background in Algebra, Geometry, and Calculus. Even though I taught myself most of what I know about all three subjects as well as what I know about physics. the more advanced math of quantum mechanics I understand decently I require either the teacher or the books so I can get taught. The school system doesn't teach these advanced ideas that I love to learn.
 
Go through the quantum mechanics section of a freshmen physics textbook, then go through the quantum mechanics section(s) of a Modern Physics textbook, then go through Griffiths Quantum Mechanics (imo not the best for self-study since it doesn't have an even or odd answers to problems section, but it is the go to for undergraduate QM right now). Then go through J.J. Sakurai's QM. I've never looked at J. J. Sakurai's QM, but its the go to for graduates. Partial Differential Equations is the minimum math you'll want to know for QM. You probably won't need PDE's for most of the problems in any of these books until you get to J. J. Sakurai's, but if you actually want to understand QM you need to know what a PDE is. The Schrödinger Equation is the fundamental equation for QM and guess what, its a Partial Differential Equation. Good luck on this adventure!
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 18 ·
Replies
18
Views
2K
  • · Replies 35 ·
2
Replies
35
Views
15K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 5 ·
Replies
5
Views
1K
Replies
1
Views
2K
  • · Replies 7 ·
Replies
7
Views
1K