Fractional canonical quantization of the free electromagnetic lagrangian density E. K. Jaradat, R. S. Hijjawi, J. M. Khalifeh.

الملخص EN

We reformulated the fractional free electromagnetic Lagrangian density using the radiation (Coulomb) gauge and Lorentz gauge.

We also obtained fractional Euler- Lagrange (E-L) equations resulting from these Lagrangian densities.

Then we found fractional Hamiltonian density in general form and used Dirac algebraic method to determine the creation and annihilation operators to construct the Canonical Commutation Relations (CCRs).