Looking for QM book on symmetry and groups

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SUMMARY

This discussion focuses on recommended quantum mechanics (QM) books that thoroughly cover symmetry, time-reversal, and angular momentum representations in SO(3). Key suggestions include "Quantum Mechanics" by Sakurai, "Physics from Symmetry" by Schwichtenberg, and "Quantum Mechanics: Symmetries" by Greiner. Additional notable mentions are "Symmetry and the Standard Model" by Robinson and "Lie Groups, Lie Algebras and Some of Their Applications" by Gilmore. The conversation emphasizes the importance of these texts for a comprehensive understanding of the interplay between quantum mechanics and symmetry principles.

PREREQUISITES
  • Familiarity with quantum mechanics concepts
  • Understanding of symmetry in physics
  • Basic knowledge of angular momentum in quantum systems
  • Awareness of group theory applications in physics
NEXT STEPS
  • Research "Quantum Mechanics: Symmetries" by Greiner for detailed symmetry applications
  • Explore "Physics from Symmetry" by Schwichtenberg for a unique perspective on QM
  • Study "Lie Groups, Lie Algebras and Some of Their Applications" by Gilmore for foundational group theory
  • Investigate the unfinished book by Peter Woit for insights on symmetries in Hamiltonian formalism
USEFUL FOR

Students, researchers, and educators in physics, particularly those focusing on quantum mechanics, symmetry principles, and group theory applications.

dyn
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Hi. I am looking for a QM book that covers symmetry , time-reversal , angular momentum representations in SO(3). I have a few books and most of them don't have much detail on these subjects.The main one that does is Sakurai. Any other suggestions ?
Thanks
 
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dyn said:
Hi. I am looking for a QM book that covers symmetry , time-reversal , angular momentum representations in SO(3). I have a few books and most of them don't have much detail on these subjects.The main one that does is Sakurai. Any other suggestions ?
Thanks
This is not a QM book that covers symmetry but a symmetry book that covers QM - an excellent book
Physics from Symmetry - Schwichtenberg
https://www.amazon.com/dp/3319192000/?tag=pfamazon01-20

The springer site has preview.
http://www.springer.com/us/book/9783319192000

Greiner has a book on that topic that I never read
Quantum Mechanics: Symmetries - Greiner
https://www.amazon.com/dp/3540580808/?tag=pfamazon01-20

Also, check out the following book
Symmetry and the Standard Model - Robinson
https://www.amazon.com/dp/1441982663/?tag=pfamazon01-20
 
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Tinkham's "group theory and qm", maybe?
 
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dyn said:
Hi. I am looking for a QM book that covers symmetry , time-reversal , angular momentum representations in SO(3). I have a few books and most of them don't have much detail on these subjects.The main one that does is Sakurai. Any other suggestions ?
Thanks

There is an old one like 1970 by the Italians Fonda and Ghirardi published by Marcel Dekker. It contains a lot of material and explanations.
 
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Hi, I suggest also the book of Gilmore

'' Lie groups, Lie algebras and some of their applications''
 
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Symmetry Principles and Magnetic Symmetry in Solid State Physics, Joshua (I call it baby Tinkham).

Tinkham

Group Theory in Physics, Wu-Ki Tung.

Joshua hits it from a basic viewpoint and has the answers in the back for self study, then work thru Tinkham. Wu-Ki Tung gives all the Lie Groups info you need for QFT, then you can go on from there.
 
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