Quantum Books: Ballentine or Shankar?

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SUMMARY

The discussion centers on the choice between Ballentine's and Shankar's quantum mechanics textbooks for someone preparing to study Quantum Field Theory (QFT) using Zee's book. Participants agree that Shankar does not significantly enhance the understanding gained from Sakurai, while Ballentine offers valuable material and perspectives absent in Sakurai. The consensus is that for those already familiar with quantum mechanics, it is more beneficial to dive directly into Zee's QFT book, supplemented by classical field theory resources such as Landau and Lifgarbagez, rather than spending time on Ballentine or Shankar.

PREREQUISITES
  • Familiarity with quantum mechanics concepts from Sakurai
  • Understanding of classical field theory principles
  • Knowledge of the Dirac equation and coherent state path integrals
  • Basic familiarity with Quantum Field Theory (QFT) concepts
NEXT STEPS
  • Read Zee's "Quantum Field Theory in a Nutshell"
  • Study classical field theory using "Field Theory" by Landau and Lifgarbagez
  • Explore Ryder's "Quantum Field Theory" for additional QFT insights
  • Watch David Tong's online lectures on QFT at http://pirsa.org/index.php?p=speaker&name=David_Tong
USEFUL FOR

Students and researchers in theoretical physics, particularly those transitioning from quantum mechanics to Quantum Field Theory, as well as anyone seeking to deepen their understanding of quantum concepts and calculations.

maverick_starstrider
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Hi,

I have a pretty strong background in quantum and I've already gone through sakurai using shankar as a reference for courses and such. However, this summer, I want to go through a comprehensive quantum book cover to cover in preparation for going through Zee's QFT book. Which do people think would be a better book, Ballentine's of Shankar's? Ballentine seems to put a stronger emphasis on the math but Shankar has a chapter on the Dirac equation and coherent state path integrals (i'm interested in QFT in regards to mostly condensed but not exclusively).
 
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Actually, since you already know QM pretty well, I think your time is better spent already reading some QFT. Sakurai+Shankar gives you a strong enough background.

QFT can be a daunting subject, so studying some of it from another book (or not) in the summer will prepare you better than reviewing QM.

To answer your question: I think Shankar doesn't really add much to Sakurai. Ballentine has a lot of material and perspectives you won't get from Sakurai.
 
I'm just going to repeat what Landau said:

If you've gone through sakurai, and your goal is QFT, then simply start with Zee and don't bother with Ballentine or Shankar. Start with Zee right now, and move on to a different QFT book later on, like Ryder, Tong's lecture notes, or Peskin and Schroeder if you want to torture yourself. If you really want to prepare yourself before starting with QFT: learn classical field theory (e.g. the book by Landau Lifgarbagez).

Furthermore: don't try to cover everything that is being treated in Zee. The later chapters are great to read, but in the end you will not learn to calculate stuff using Zee. Zee's book tries to cover a lot of different topics, and he does a great job doing so. But you will need to go through those nasty calculations. Stick to the first four chapters or so, and then re-learn that stuff from another book.

You can also try these online lectures: http://pirsa.org/index.php?p=speaker&name=David_Tong
 

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