Composite Fermions QED Lagrangian Density in Fractional Formulation

Autor: Amer D. Al-Oqali
Jazyk: English<br />Russian<br />Ukrainian
Rok vydání: 2023
Předmět:
Zdroj: East European Journal of Physics, Iss 2 (2023)
Druh dokumentu: article
ISSN: 2312-4334
2312-4539
DOI: 10.26565/2312-4334-2023-2-03
Popis: Quantum electrodynamics (QED) is a highly precise and successful theory that describes the interaction between electrically charged particles and electromagnetic radiation. It is an integral part of the Standard Model of particle physics and provides a theoretical basis for explaining a wide range of physical phenomena, including the behavior of atoms, molecules, and materials. In this work, the Lagrangian density of Composite Fermions in QED has been expressed in a fractional form using the Riemann‑Liouville fractional derivative. The fractional Euler-Lagrange and fractional Hamiltonian equations, derived from the fractional form of the Lagrangian density, were also obtained. When α is set to 1, the conventional mathematical equations are restored.
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