Photon and the absence of longitudinal polarization

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SUMMARY

The absence of longitudinal polarization in photons is fundamentally due to their intrinsic angular momentum, or spin, which is always aligned transversely. This characteristic arises from the gauge choice in electromagnetic theory, specifically the Coulomb gauge. In this context, the longitudinal mode is not physically realizable for massless particles like photons, confirming that they can only exhibit transverse polarization states.

PREREQUISITES
  • Understanding of angular momentum in quantum mechanics
  • Familiarity with gauge theories in physics
  • Knowledge of electromagnetic wave properties
  • Concept of polarization in wave mechanics
NEXT STEPS
  • Study the implications of gauge choices in quantum field theory
  • Explore the properties of massless particles in quantum mechanics
  • Learn about transverse and longitudinal polarization in electromagnetic waves
  • Investigate the role of angular momentum in particle physics
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Physics students, quantum mechanics enthusiasts, and researchers in particle physics seeking to understand the polarization characteristics of photons.

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Homework Statement



What property of the photon is responsible for the absence of longitudinal polarization?


Homework Equations





The Attempt at a Solution



I thought it is because of the presence of its angular momentum. Is it true?
 
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It is a gauge choice (depending on what you mean by the photon). See Coulomb gauge.
 

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