I recently learned, that:
- Helicity is a combination of particle's "rotation"
(Spin) and direction of it's motion.
The motion is relativity-dependant, and so is helicity. - Chirality corresponds to the direction of phase shift in wavefunction of a "rotating" particle.
And it's not depend on relativity.
Phase shift seems as a crutial concept in many aspects of QFT, to say the least (gauge invariance is tough; now also this one), and I have a lot of struggle in seeking through any of it.
Then I just tried to use this video to find some patterns in geometry of wavefunction, and may be see how phase shift translates to chirality:
But all patterns that I found are seem to be also relative to motion, exactly as helicity.
So; first of all, does that video have anything to do with phase shifts and chirality?
I'd like to keep on trying and then answer this myself
— if the short answer would be 'yes'.
If not, then there surely should be possible some other geometric representation of wavefuncton's chirality, right?..
Or the problem, rather obviously,
is that I should've looked at relativistic wavefunctions
— ?.. I haven't found any on the Internet to look at, btw
(that detailed, at least), so links are welcome.
Or the problem is that QFT mostly cares about fields?
Does it have a "corner" in its framework where it tracks individual particles like Schrödinger does (Dirac? Klein-Gordon? Path-integral?..)
— ?..
