Representations of the Lorentz group

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SUMMARY

The discussion centers on the representations of the Lorentz group, particularly in relation to the Dirac equation and spinor representation. Participants recommend literature for deeper understanding, highlighting contributions from a user named Sam, who provided valuable insights. A notable recommendation is the book by Wu Ki Tung, which covers group theory applications in physics without requiring extensive mathematical background.

PREREQUISITES
  • Understanding of the Dirac equation
  • Familiarity with spinor representation
  • Basic knowledge of group theory
  • Interest in theoretical physics applications
NEXT STEPS
  • Read "Group Theory and Its Application to the Quantum Mechanics of Atomic Spectra" by Wu Ki Tung
  • Explore advanced topics in Lorentz group representations
  • Study the mathematical foundations of spinors
  • Investigate the role of group theory in quantum field theory
USEFUL FOR

The discussion is beneficial for theoretical physicists, graduate students studying quantum mechanics, and anyone interested in the mathematical frameworks underpinning particle physics.

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Can anyone recommend some litterature on representations of the Lorentz group. I'm reading about the dirac equation and there the spinor representation is used, but I would very much like to get a deeper understanding on what is going on.
 
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This is a very broad subeject and even whole books have been written about it. Indeed, Sam gave there a brilliant summary of results and if you're interested in more without delving into hard mathematics, then the book by Wu Ki Tung on group theory with applications in physics would be an appropriate choice.
 

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