TITLE:
Canonical Angular Momentum of Electron, Positron and the Gamma Photon
AUTHORS:
Ziya Saglam, Mesude Saglam
KEYWORDS:
Magnetic Moment, Quantum Flux, Gamma Photons, Canonical Angular Momentum, Electron-Positron Annihilation, Right (Left) Hand Circular Helicity
JOURNAL NAME:
Journal of Modern Physics,
Vol.7 No.1,
January
25,
2016
ABSTRACT: 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 (Jc) is written as the summation of the kinetic angular momentum (Jkin) and the intrinsic quantum flux dependent terms. In terms of the z-components this can be written as . For a free electron (e-) and a positron (e+) depending on the spin orientation we find that: ; ; and respectively. Similarly for a gamma (γ) photon, propagating in z direction with an angular frequency ω, the canonical angular momentum is found to be: , here the (+) and (-) signs stand for the right and left hand circular helicity respectively.