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Hamiltonian Analysis Formulation of Lee-Wick Field Using Riemann-Liouville Fractional Derivatives |
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PP: 189-209 |
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doi:10.18576/pfda/090201
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Author(s) |
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Yazen M. Alawaideh,
Ali Elrashidi,
Bashar M. Al-khamiseh,
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Abstract |
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| 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.
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