QM: Neutrino Polarization - Oscillation & Mass Polarization

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SUMMARY

Neutrinos exhibit left-handed polarization, as stated in Townsend's Quantum Mechanics text on Page 119. Polarization does not require oscillation; particles can possess intrinsic angular momentum, or spin. Photons, which are spin-1 particles, relate to electric field polarization through their two circular polarization states. Massive spin-1 particles can have left-handed, right-handed, and longitudinal polarization states, while massless particles like photons are restricted to left-handed and right-handed states due to Lorentz invariance principles.

PREREQUISITES
  • Understanding of quantum mechanics concepts, particularly polarization and spin.
  • Familiarity with particle physics, specifically the properties of neutrinos and photons.
  • Knowledge of Lorentz invariance and its implications for massless particles.
  • Basic grasp of angular momentum in quantum systems.
NEXT STEPS
  • Research the implications of Lorentz invariance on massless particles.
  • Study the relationship between spin and polarization in quantum field theory.
  • Explore the characteristics of massive versus massless particles in particle physics.
  • Learn about the different polarization states of particles, focusing on spin-1 and spin-0 particles.
USEFUL FOR

Students and researchers in quantum mechanics, particle physicists, and anyone interested in the properties of neutrinos and photon polarization.

wotanub
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I was reading in my QM book that neutrinos are "essentially left handedly polarized." (Townsend on Page 119)

If neutrinos can be polarized, what is oscillating? Do other particles with mass exhibit polarization?
 
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Yes. You don't need oscillation to get polarization. Particles can have intrinsic angular momentum, called spin.
 
I'm not sure I understand completely.

What's the connection between spin of a photon and the polarization of the E field? Photons are spin 1 (3 eigenstates) and E polarization is a two state problem. I can't think of an obvious correspondence.
 
Massive spin-1 particles have left-handed, right-handed and longitudinal polarization states. Massless ones like photons have only the left-handed and right-handed states, which are the two varieties of circular polarization.
 
Is there a good reason spin-0 states are forbidden for massless particles? What's the underlying principle?
 
maybe because without mass they need something to keep them existing?
 

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