Canonical Angular Momentum of Electron, Positron and the Gamma Photon

We calculate the canonical angular momentum of a free electron, positron and gamma photon.We show that for any particle with charge q the canonical angular momentum ( ) c J is written as the summation of the kinetic angular momentum ( ) kin J and the intrinsic quantum flux ( ) int ф dependent terms.In terms of the z-components this can be written as ( ) ( )       c kin int z z q J J ф 2 = + π .For a free electron ( ) eand a positron ( ) e + depending on the spin orientation we find that: ( ) ( ) c z z J e 0 -= ↑ = ; ( ) ( ) 0 c z z J e - = ↓ = ; ( ) ( ) c z z ћ J e + = ↑ = and ( ) ( ) c z z ћ J e + = ↓ =respectively.Similarly for a gamma (γ) photon, propagating in z direction with an angular frequency ω, the canonical angular momentum is found to be: ( ) ( ) c z J ћ = ± γ , here the (+) and (-) signs stand for the right and left hand circular helicity respectively.