Tips on learning quantum mechanics

In summary, the conversation discusses a beginner's journey into physics and the search for good books or articles on quantum mechanics. The importance of math background is emphasized, with suggestions for textbooks and concepts to study. The conversation also touches on the debate between interpretations of quantum physics and the suggestion to focus on the mathematics rather than trying to compare it to macroscopic phenomena. The importance of understanding partial differential equations is also mentioned.
  • #1
Rockey
2
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.
 
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  • #2
Leonard Susskind's book: Quantum Mechanics The Theoretical Minimum might be a good light start.
 
  • #3
What math do you know already - algebra? trigonometry? single-variable calculus? multi-variable calculus? differential equations? linear algebra?
 
  • #4
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.
 
  • #5
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.
 
  • #6
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.
 
  • #7
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.
 
  • #8
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 Schrodinger Equation is the fundamental equation for QM and guess what, its a Partial Differential Equation. Good luck on this adventure!
 

1. What is quantum mechanics?

Quantum mechanics is a branch of physics that explains the behavior of matter and energy at the atomic and subatomic levels. It describes how particles such as atoms and photons behave and interact with each other.

2. Why is it important to learn quantum mechanics?

Quantum mechanics is the foundation of modern physics and is essential in understanding many phenomena such as superconductivity, nuclear energy, and the behavior of atoms and molecules. It also has practical applications in technologies such as transistors, lasers, and MRI machines.

3. What are some tips for learning quantum mechanics?

1. Develop a strong foundation in mathematics, particularly calculus and linear algebra.2. Familiarize yourself with the basic principles and concepts of classical mechanics.3. Practice solving problems and working through mathematical equations.4. Utilize resources such as textbooks, online lectures, and study groups.5. Visualize and conceptualize the principles of quantum mechanics, rather than just memorizing equations.

4. Is it necessary to have a background in physics to learn quantum mechanics?

While having a background in physics can be helpful, it is not necessary to understand the fundamentals of quantum mechanics. However, a strong understanding of mathematics is essential in learning and applying the principles of quantum mechanics.

5. What are some common misconceptions about quantum mechanics?

Some common misconceptions about quantum mechanics include the idea that it only applies to the microscopic world, that it is purely theoretical, and that it can explain all phenomena. In reality, quantum mechanics has been successfully applied to macroscopic systems, has practical applications, and is only one aspect of physics that explains the behavior of matter and energy.

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