Question about Learning Quantum Physics

Click For Summary

Discussion Overview

The discussion centers around the prerequisites and resources for self-studying quantum mechanics (QM), including the necessary mathematical and physics background. Participants explore various recommendations for books and topics to study in preparation for learning QM.

Discussion Character

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

Main Points Raised

  • Some participants suggest that a solid understanding of classical mechanics, particularly Lagrange's and Hamilton's equations, would be beneficial for studying QM.
  • Others argue that a basic knowledge of linear algebra and calculus is sufficient for introductory QM.
  • Several participants recommend specific books, such as "Quantum Mechanics" by Ohanian and "Atoms and Molecules" by Karplus and Porter, as good starting points for self-study.
  • One participant notes that a basic book on applied mathematics could help fill gaps in the questioner's mathematical background.
  • There is a discussion about the historical development of linear algebra, with some participants noting that it existed before the advent of QM.
  • A later reply mentions the Dirac method as a potential starting point for learning QM.

Areas of Agreement / Disagreement

Participants express a range of views on the necessary mathematical background for QM, with some emphasizing the importance of classical mechanics while others focus on linear algebra and calculus. No consensus is reached on a single path or set of prerequisites for self-study.

Contextual Notes

Some participants acknowledge gaps in the questioner's mathematical background, suggesting that additional study may be required. The discussion reflects varying opinions on the depth of knowledge needed in classical mechanics and the role of specific mathematical concepts in understanding QM.

alirezaz
Messages
3
Reaction score
0
Hi quantum people :smile: ,

I am so interested in quantum physics. I want to study this subject on my own. I have taken these math classes:

Pre-Calculus
Calculus I
Calculus II
Calculus III
Differential Equations
Linear Algebra
Probability and Statistics

And these physics courses:

University Physics I
University Physics II

What kind of math and physics courses I need to have for better understanding of QM?

Any Suggestions would help.

Thanks.

:smile:
 
Physics news on Phys.org
This is too obvious of a question not to be asked.

If you are planning on taking a QM class in college, shouldn't a description of that class also contain the prerequisites to take that class? This should tell you exactly the level you need.

Zz.
 
ZapperZ said:
This is too obvious of a question not to be asked.

If you are planning on taking a QM class in college, shouldn't a description of that class also contain the prerequisites to take that class? This should tell you exactly the level you need.

Zz.
The questioner clearly stated it was for self study.

That is a good background (at least for a start).
There with no doubt gaps in mathematics. A basic book of applied mathematics would be helpful.
 
lurflurf said:
The questioner clearly stated it was for self study.

That is a good background (at least for a start).
There with no doubt gaps in mathematics. A basic book of applied mathematics would be helpful.

Oops. I missed that part.

Zz.
 
pick up a book

Given your background I would get a book on Modern physics or
an intro book to quantum.

Quantum Mechanics by Ohanian
is a good intro.
A book that is applied to spectroscopy might also be a good start
because it applies QM directly to more tangible problems.

Look at Atoms and Molecules by Karplus and Porter
 
dgiznya said:
Given your background I would get a book on Modern physics or
an intro book to quantum.

Quantum Mechanics by Ohanian
is a good intro.
A book that is applied to spectroscopy might also be a good start
because it applies QM directly to more tangible problems.

Look at Atoms and Molecules by Karplus and Porter


Thanks for help
 
I would recommend getting a firmer background in some classical mechanics, such as Lagrange's equations and Hamilton's equations. You don't need a lot of depth, but it makes the intuition about the problems a little firmer.
 
All you really need to know to do QM is linear algebra and calculus (basic QM that is)
 
I was wondering if linear algebra was developed because of QM.
 
  • #10
That is a good question. I think linear algebra already existed at the end of the 19th century (therefore, before QM). The most important theorems had already been put forth by Jacobi, Calley etc.

I think Heisenberg periodicaly asked Jacobi for help
 
  • #11
It is fairly common that the mathematical theory exists before the physicists want to use it... but after that point, the needs of physicists often become one of the many factors that contribute to the direction in which the theory is developed.
 
  • #12
you may want to start with the dirac method
 

Similar threads

  • · Replies 7 ·
Replies
7
Views
2K
Replies
1
Views
3K
  • · Replies 5 ·
Replies
5
Views
4K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 9 ·
Replies
9
Views
5K
  • · Replies 18 ·
Replies
18
Views
2K
  • · Replies 11 ·
Replies
11
Views
1K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 32 ·
2
Replies
32
Views
5K
  • · Replies 16 ·
Replies
16
Views
3K