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Fractional Quantization of Podolsky Electrodynamics Using Fractional Hamilton-Jacobi Formulation |
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PP: 211-221 |
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doi:10.18576/pfda/090202
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Author(s) |
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Yazen M. Alawaideh,
Bashar M. Al-khamiseh,
Mohammad Kanan,
Fekadu Tesgera Agama,
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Abstract |
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| For fractional derivative order constrained systems, the Hamilton-Jacobi formulation in terms Riemann-Liouville fractional derivative was developed. The equations of motion are written as total differential fractional equations fractional in many variables using this formalism. We use the Hamilton-Jacobi formulation in terms of Riemann-Liouville fractional derivative to study Podolsky electrodynamics, comparing our results to those obtained using the Euler-Lagrange Riemann- Liouville fractional derivative method. A fractional difference will be presented as a minor adjustment to a Hamilton-Jacobi derivation formula that is more compatible with the traditional similarity. After generalizing Podolsky electrodynamics for constrained systems with fractional second-order Lagrangians, a new formulation is used to help the reader understand the conclusions.
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