Abstract
We have calculated the intrinsic magnetic moment of a photon through the intrinsic magnetic moment of a gamma photon created as a result of the electron-positron annihilation with the angular frequency ω. We show that a photon propagating in z direction with an angular frequency ω carries a magnetic moment of μz = ±(ec/ω) along the propagation direction. Here, the (+) and (-) signs stand for the right hand and left circular helicity respectively. Because of these two symmetric values of the magnetic moment, we expect a splitting of the photon beam into two symmetric subbeams in a Stern-Gerlach experiment. The splitting is expected to be more prominent for low energy photons. We believe that the present result will be helpful for understanding the recent attempts on the Stern-Gerlach experiment with slow light and the behavior of the dark polaritons and also the atomic spinor polaritons.
Highlights
In an earlier study [1], we calculated the intrinsic quantum flux of a photon through the intrinsic quantum flux of the gamma photons created as a result of the electron-positron ( e− - e+ ) annihilation
We have found a unique relation between the intrinsic fluxes and the magnetic moments of the particles such as electron, positron and the photon
The (+) and (−) signs stand for the right hand and left circular helicity respectively
Summary
In an earlier study [1], we calculated the intrinsic quantum flux of a photon through the intrinsic quantum flux of the gamma photons created as a result of the electron-positron ( e− - e+ ) annihilation. We have found a unique relation between the intrinsic fluxes and the magnetic moments of the particles such as electron, positron and the photon. Wan and Saglam [20] calculated the intrinsic magnetic flux of an electron due to its orbital motion in a non-relativistic hydrogen atom by using the Schrödinger equation and extended their result to incorporate the spin angular momentum as well. ( ) ( ) In Appendix I, we calculate the intrinsic fluxes of e− and e+ by the spin dependent solutions [21] of the Dirac equation for a free electron (or positron) in a uniform magnetic field. If we compare the z-components of the magnetic moments and the spin dependent fluxes for both electron and positron Equations (2a)-(5b) we write the relation between the intrinsic flux and the magnetic moment of both electron and positron
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