Question about Learning Quantum Physics

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To effectively study quantum mechanics (QM) independently, a solid foundation in mathematics and physics is essential. The individual has already completed advanced math courses, including Calculus and Linear Algebra, alongside introductory physics courses. For further self-study, it is recommended to explore applied mathematics to fill any gaps, as well as to strengthen understanding of classical mechanics through concepts like Lagrange's and Hamilton's equations. Suggested resources include "Quantum Mechanics" by Ohanian and "Atoms and Molecules" by Karplus and Porter, which provide a good introduction and practical applications of QM. A basic understanding of linear algebra and calculus is crucial for grasping QM concepts, and while linear algebra predates QM, its development has been influenced by the needs of physicists.
alirezaz
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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:
 
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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
 

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