How to couple apin angular momenta of four electrons?

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SUMMARY

The discussion focuses on the coupling of spin angular momenta for four electrons using the Clebsch-Gordan coefficients. The method involves sequentially coupling the spins of two electrons at a time, followed by combining the resulting states. This approach simplifies the process by treating the problem in pairs, ultimately leading to a comprehensive understanding of the total angular momentum of the system.

PREREQUISITES
  • Understanding of angular momentum in quantum mechanics
  • Familiarity with Clebsch-Gordan coefficients
  • Knowledge of quantum state representation
  • Basic principles of addition of angular momenta
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Students and researchers in quantum mechanics, particularly those studying angular momentum coupling and its applications in multi-electron systems.

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Homework Statement


How to couple spin angular momenta of four electrons?

2. The attempt at a solution
I've no idea.
I've learned coupling of two angular momenta and Clebsch Gordan coefficient.
But donno how to appy that to this system.
 
Last edited:
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Just do them two at a time, like regular addition. E.g. first add the spins of two electrons, then of the other two, then add those two resulting states together.
 

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