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Chirality and charge - Could someone please check this

  1. Oct 19, 2015 #1
    Hi, I was wondering if someone could please check this, my current understanding of electron chirality and charge, just to see if I'm wrong at all. Thanks a lot.

    All electrons have left-handed chirality. Helicity, in the other hand, is observer-dependent, the way you look at the chirality depending on whether the particle is coming toward you or going away from you. So you might see the spin as either "spin up" or "spin down", the two options for helicity.

    Chirality depends on the particle wavefunction. If you invert the sign of the phase of the wavefunction, this is like reflecting the particle a mirror. This is a parity transformation.
    If I change the sign of the phase of the wavefunction in this way, I am effectively inverting the electric charge of the electron (negative charge to positive charge). So there is a symmetry if I change the wavefunction by a parity transformation, and at the same time invert the charge of the particle (this is CP-symmetry).

    Thanks a lot.
  2. jcsd
  3. Oct 20, 2015 #2


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    Science Advisor

    No, electrons (and massive particles in general) aren't eigenfunctions of chirality.
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