"Hamiltonian Analysis Formulation of Lee-Wick Field Using Riemann-Liouv" by Yazen M. Alawaideh, Ali Elrashidi et al.

Progress in Fractional Differentiation & Applications

Article Title

Hamiltonian Analysis Formulation of Lee-Wick Field Using Riemann-Liouville Fractional Derivatives

Authors

Yazen M. Alawaideh, Research Unit, Middle East University, 1942-Amman, JordanFollow
Ali Elrashidi, Department of Electrical Engineering, University of Business and Technology, Jeddah 21432, Saudi ArabiaFollow
Bashar M. Al-khamiseh, Department of Physics, The University of Jordan, 11942-Amman, JordanFollow

Author Country (or Countries)

Jordan

Abstract

In this paper, we generalized the Hamilton formulation for continuous systems with third order derivatives and applied it to Lee-Wick generalized electrodynamics. A combined Riemann–Liouville functional fractional derivative operator was built, and a fractional variational principle was established under this formulation. The fractional Euler- Lagrange equations and fractional Hamiltons equations were created using functional fractional derivatives. We found that the Euler-Lagrange equation and the Hamiltonian equation resulted in the same outcome. We looked at one example in an effort to explain the formalism.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/090201

Recommended Citation

M. Alawaideh, Yazen; Elrashidi, Ali; and M. Al-khamiseh, Bashar (2023) "Hamiltonian Analysis Formulation of Lee-Wick Field Using Riemann-Liouville Fractional Derivatives," Progress in Fractional Differentiation & Applications: Vol. 9: Iss. 2, Article 1.
DOI: http://dx.doi.org/10.18576/pfda/090201
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol9/iss2/1

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