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
From page
47
To page
54
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
Record number
2587229
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