How Should Spinors Be Applied in Physics Homework Involving Fermions?

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SUMMARY

The discussion focuses on the application of spinors in physics homework involving fermions, specifically addressing the need to use explicit forms of spinors due to the definite helicity of fermions. Participants confirm that one cannot sum over spins in this context and emphasize the importance of consulting textbooks for the correct spinor expressions. The conversation highlights the necessity of accurately inserting spinor representations to solve related problems effectively.

PREREQUISITES
  • Understanding of fermions and their properties, particularly helicity.
  • Familiarity with quantum mechanics and spinor mathematics.
  • Knowledge of relevant textbooks that describe spinor forms.
  • Basic proficiency in formulating quantum amplitudes.
NEXT STEPS
  • Research the specific forms of spinors used in quantum mechanics.
  • Study the role of helicity in fermionic systems.
  • Explore textbooks that detail spinor representations, such as "Quantum Field Theory" by Peskin and Schroeder.
  • Learn about the implications of using spinors in calculating quantum amplitudes.
USEFUL FOR

Students and researchers in theoretical physics, particularly those working on quantum mechanics and quantum field theory involving fermions.

lefebvre
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Homework Statement


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Homework Equations

The Attempt at a Solution


I've started from writing out the amplitude. Here I know that fermion has definite helicity so I can't sum over spins but I should input explicit forms of spinors. Am I correct? How to do this?
I would be grateful for helping me with this step. I'll manage the rest of the problem.
 
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You insert the expression for a spinor of the appropriate spin. It should be described in your textbook how such a spinor looks.
 

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