Reformulation Complex Scalar Field Interacting With the Electromagnetic Lagrangian Density by Riemann- Liouville Factional Derivative

Authors

Yazen M. Alawaideh, Department of Physics, The University of Jordan, JordanFollow
Bashar M. Alkhamiseh, Department of Physics, The University of Jordan, JordanFollow
Mansour S. M. Lotayif, Deanship of Research and Graduate Studies, Applied Science University, Kingdom of BahrainFollow

Abstract

We recast complex scalar fields as interacting field using fractional derivatives. to be more developed By applying the Hamiltonian formulation using fractional derivatives to the complex scalar fields, we applied the Hamiltonian formulation using fractional derivatives to the complex scalar fields. In addition, we observed that the Euler-Lagrange equation and the Hamiltonian equation yield the same result. Finally, we studied an example to elucidate the results.

Recommended Citation

M. Alawaideh, Yazen; M. Alkhamiseh, Bashar; and S. M. Lotayif, Mansour (2022) "Reformulation Complex Scalar Field Interacting With the Electromagnetic Lagrangian Density by Riemann- Liouville Factional Derivative," Information Sciences Letters: Vol. 11 : Iss. 1 , PP -.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol11/iss1/8