Which quantum mechanics textbooks?

In summary, the conversation revolves around the best sequence for self-studying quantum mechanics, specifically whether to use Griffiths or Shankar as introductory books. While Griffiths is recommended for beginners, some suggest Shankar is suitable for graduate students. There is also a discussion about the suitability of Griffiths as preparation for Sakurai. The conversation also includes recommendations for other books on the topic, such as Konishi & Paffuti and Eisberg & Resnick. The general consensus is to start with Griffiths, then move on to Shankar and finally Sakurai.
  • #1
bahal2
5
0
I want to begin self-studying some quantum mechanics, and was wondering whether Griffiths or Shankar would be more suitable. I know Griffiths is an introductory book, but I'm not sure where Shankar fits--some say it's a good place to learn QM for the first time, others say it's suitable for graduate students.

On a related note, is Griffiths sufficient preparation for Sakurai? Is reading both Shankar and Sakurai overkill?

To summarize: Which of these sequences should I take?
1) Griffiths, Sakurai
2) Shankar, Sakurai
3) Griffiths, Shankar
4) Griffiths, Shankar, Sakurai

Thanks,
Aleksandar
 
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  • #2
I've used Shankar at some point in time, his style is nice, but frankly, I don't like it.
I would not advise using it as a first book on QM.

So if you're asking whether to use Shankar or Griffiths, I would suggest going for Griffiths, then move on to whatever other book you like.

One of my favorite books (covers a wide range of topics, more like beginner/intermediate level):
https://www.amazon.com/dp/0199560277/?tag=pfamazon01-20

Konishi & Paffuti book should provide sufficient background material for Sakurai's modern QM.
 
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  • #3
My main complaint with Shankar is that he is prolix. (You know I've just been waiting to use that word.)
 
  • #4
To me, the place to start would be the first four chapters of Eisberg and Resnick. I don't think Griffiths, Shankar, and Sakurai really motivate QM properly. E&R give a lot of historical background, experiments that contradicted classical models, etc. I feel that one needs to convince oneself that classical physics had to be modified, to reconcile the theory with these experiments.
If you don't like E&R, Ch. 1-2 of Messiah work well for the same purpose.

Griffiths has no motivation at all, just drops the Schrodinger equation on page 1. This is incredibly unsatisfying, and honestly, readers should feel insulted. Even though the SE can't be "derived," there are arguments by analogy, physical reasons that it is what it is. (For an extreme example, the most convincing argument to me is by analogy to the wave optics -> geometric optics limit, using the Hamilton-Jacobi equation.) Nevertheless, once a reader is convinced about the Schrodinger equation, the rest of the book reads nicely, although it feels like "quantum lite" most of the time.

After Griffiths (or concurrently), go with Shankar. It really goes in depth, and develops your mathematical skills. Chapter 1 is the best treatment of linear algebra for QM that I've seen. I'm not a fan of how the path integral, berry phase, landau levels, etc. are thrown in as an afterthought in chapter 21, but the rest of the book was fun.

Finally, read Sakurai. It fills in a lot of holes that the other books leave, and approaches the rest from an alternative, more streamlined point of view. I particularly like how Schrodinger's equation is arrived at from the postulate of unitary time evolution. (Bonus: there's a new edition with an extra chapter on relativistic QM. The new edition leaves out Young tableaux, so make sure to learn that from an alternative source. The previous (red) edition of Sakurai has a treatment, but I really like Greiner QM: Symmetries.)
 
  • #5
Thanks for the advice everyone!
I'm already familiar with the motivation for QM, so it seems Griffiths is the right place to start. I'll take a look at Shankar later and see if like it; if not, I'll just go straight to Sakurai.
 

1. What are some good introductory textbooks for quantum mechanics?

Some popular introductory textbooks for quantum mechanics include "Introduction to Quantum Mechanics" by David J. Griffiths, "Modern Quantum Mechanics" by J.J. Sakurai, and "Quantum Mechanics: Principles and Applications" by Nouredine Zettili.

2. Are there any textbooks that focus on mathematical aspects of quantum mechanics?

Yes, "Principles of Quantum Mechanics" by R. Shankar and "Quantum Mechanics in Hilbert Space" by Eduard Prugovecki are both well-known textbooks that focus on the mathematical foundations of quantum mechanics.

3. What is the difference between graduate-level and undergraduate-level quantum mechanics textbooks?

Graduate-level textbooks typically assume a stronger mathematical background and cover more advanced topics in quantum mechanics, such as quantum field theory and quantum information theory. Undergraduate-level textbooks tend to focus on the basics and may have more conceptual explanations.

4. Are there any textbooks that offer a historical perspective on quantum mechanics?

Yes, "Quantum Mechanics: Historical Contingency and the Copenhagen Hegemony" by Arkady Plotnitsky and "The Quantum Moment: How Planck, Bohr, Einstein, and Heisenberg Taught Us to Love Uncertainty" by Robert P. Crease and Alfred Scharff Goldhaber both offer a historical perspective on the development of quantum mechanics.

5. Do you have any recommendations for online resources that supplement quantum mechanics textbooks?

There are many online resources that can supplement the material covered in quantum mechanics textbooks, such as video lectures on platforms like YouTube or Coursera, online simulations and animations, and interactive tutorials. It may also be helpful to join online forums or discussion groups where you can ask questions and discuss concepts with other students studying quantum mechanics.

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