| Topic: |
Science > Physics |
| User: |
"Dom" |
| Date: |
19 Sep 2005 05:44:48 AM |
| Object: |
spinors |
Hi,
I've been trying to 'get' spinors, and I would appreciate a little help
with a question on chirality.
In two dimensions the two component spinor is mapped onto the vector
space via the Pauli matrices sigma_1 and sigma_2. Eg x = psi^{dagger}
sigma_1 psi. The chirality operator is C = -i*sigma_1*sigma_2 =
sigma_3. The an arbitrary spinor may be projected into its left and
right handed Weyl spinors using (1[+/-]P)psi. However what I do not
understand, is that a purely left handed or right handed spinor have
only the vector 0 associated with them, using the above mapping.
Can someone shed some light on this please.
Dom
.
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