Title of article :
Fractional Canonical Quantization of the Free Electromagnetic Lagrangian Density
Author/Authors :
Jaradat, E. K. University of Jordan - Department of Physics, Jordan , Hijjawi, R. S. Mutah University - Department of Physics, Jordan , Khalifeh, J. M. University of Jordan - Department of Physics, Jordan
Abstract :
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).
Keywords :
Canonical quantization , Coulomb gauge , Lorentz gauge , Fractional derivative , Free electromagnetic lagrangian density
Journal title :
Jordan Journal of Physics
Journal title :
Jordan Journal of Physics
