Spin of a quickly moving electron

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    Electron Spin
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SUMMARY

The discussion focuses on calculating the observed state of an electron's spin when it crosses worldlines with a significant relative velocity, specifically a substantial fraction of the speed of light. The key concept involves applying Lorentz Boosts in Quantum Field Theory (QFT) for a Dirac Spinor. Essential references for this topic include "An Introduction to Quantum Field Theory" by Michael Peskin and "Quantum Field Theory" by Maggiore, which are standard texts in the field.

PREREQUISITES
  • Understanding of Quantum Field Theory (QFT)
  • Familiarity with Dirac Spinors
  • Knowledge of Lorentz Boosts
  • Basic concepts of special relativity
NEXT STEPS
  • Study Lorentz Boosts in Quantum Field Theory
  • Read "An Introduction to Quantum Field Theory" by Michael Peskin
  • Explore "Quantum Field Theory" by Maggiore for advanced concepts
  • Investigate the behavior of Dirac Spinors under relativistic transformations
USEFUL FOR

Physicists, students of Quantum Field Theory, and anyone interested in the relativistic behavior of particles, particularly in the context of electron spin and Lorentz transformations.

Adam Lewis
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Suppose an electron crosses worldlines with me such our relative velocities [itex]v[/itex] are a substantial fraction of that of light. Say the electron's spin is in some state [itex]\mid\psi\rangle[/itex]; for example the doublet state. I would like to know, or read references that describe how to calculate, what state I see in my frame. Thank you.
 
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You are looking for the Lorentz Boosts in QFT for a Dirac Spinor.

This is a pretty standard item to learn during the laborious process of learning QFT. It's actually one of the first things your learn. Some normal QFT books that treat this are: Peskin is standard, and I know it's in Magiorre too.
 

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