Where's the first place I should go to learn QM?

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Discussion Overview

The discussion revolves around the best starting points for learning quantum mechanics (QM), focusing on the necessary mathematical background and recommended resources. Participants share their views on textbooks, courses, and foundational knowledge required for studying QM effectively.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant expresses a desire to jump into QM, emphasizing the need for mathematical content to maintain interest.
  • Another participant suggests familiarity with classical mechanics and a solid understanding of linear algebra and calculus as prerequisites for studying QM.
  • A recommendation is made for J. J. Sakurai's "Modern Quantum Mechanics" as a suitable starting point, balancing math and physics without delving too deeply into formalities initially.
  • One participant advises taking a class to structure the learning process.
  • Another suggests that newcomers to QM should also study probability theory and partial differential equations, along with eigenvalue problems.
  • David Griffiths' "Quantum Mechanics" is recommended by multiple participants as a valuable resource, though one participant questions whether it adequately covers the necessary math.
  • A participant mentions that Gasiorovich's work is good but requires a stronger background in mathematics.
  • One participant recommends Raymond A. Serway's "Modern Physics" for those still in the calculus sequence, suggesting it provides a good introduction to quantum concepts with sufficient mathematical content.

Areas of Agreement / Disagreement

Participants express differing opinions on the best resources and the level of mathematical background required for studying QM. There is no consensus on a single starting point, as various textbooks and approaches are suggested based on individual backgrounds.

Contextual Notes

Participants highlight the importance of prior knowledge in classical mechanics, linear algebra, and calculus, but specific requirements may vary based on the chosen resources. The discussion reflects a range of perspectives on the balance between mathematical rigor and conceptual understanding in learning QM.

Shain
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I need the math. I get a little bored doing the low level stuff, and want to jump into it. As long as I'm interested I won't get bored. I started the other thread discrete wave functions below, and realized I like everything about QM. Hopefully I don't get bored.

Sorry I just read the forum rules, please move this thread.
 
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It's hard to say, where to start, because you didn't tell us, what you already know. On the physics side you should be pretty familiar with classical (Newtonian) mechanics in its formulation in Hamiltonian canonical formalism and Poisson brackets. On the math side you should have a good knowledge of linear algebra, including complex vector spaces with a scalar product and some calculus, including Fourier transformation.

Then I'd recommend to start with modern books that do not use the historical way of teaching QT. A good example is J. J. Sakurai, Modern Quantum Mechanics, which our professor of the QM 1 theory lecture recommended. I think that's a pretty nice starting point with the right balance between math and physics. You should not get involved too much in the formalities of functional analysis in the beginning, but later it is good to have at least some knowledge about the subtleties of, e.g., operators with a continuous spectrum, the rigged Hilbert space, etc.
 
Take a class.
 
For the math- depends... if you are new into QM, I'd suggest some probability theory...
Also partial derivative equations solutions and eigen-vector/value problems (are they called the Louivile? I don't remember for sure). And matrices can help too, once you work in the dirac notation - but you'll find it out yourself XD
 
Try "Quantum Mechanics" By David Griffiths. A fantastic author, and the textbook we use for class. He will give you the math and physics background you need.
 
samnorris93 said:
Try "Quantum Mechanics" By David Griffiths. A fantastic author, and the textbook we use for class. He will give you the math and physics background you need.

does really Griffith ever give the math needed?
He is very good in giving the physics though, in that I'll agree.

Also in general, I think Gasiorovich is good, but you need a stronger backround...
 
What exactly is your mathematical background at this point? If you're still in the calc sequence, I would recommend a modern physics book that introduces quantum at the intro level. You still get plenty of math but not quite the level if Griffiths. I used Modern Physics by Raymond A. Serway for my intro modern class and would recommend it.
 

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