Influence of spin on propagation of electromagnetic wave in quantum dusty magnetoplasma

A study of the dispersion of an electromagnetic wave propagating through a uniform quantum dusty plasma under the influence of a transverse magnetic field using the quantum hydrodynamic (QHD) model and taking into account the quantum Fermi pressure, Bohm potential and electron spin.The spatial trajectories of the particles have been obtained for electrons, ions, and dust particles.The inclusion of dust particles is significant as they introduce additional mass and charge effects.Subsequently, the nonlinear current density, comprising the conventional current density and the magnetization current density due to electron spin, has been established.Further, the dispersion relation for electromagnetic waves in quantum dusty plasma has been analyzed.The effects of electron spin have been studied both numerically and analytically.The magnetization current density is significant as it plays a crucial role in accounting for the magnetic interactions and spin effects within the plasma, further influencing the overall dispersion characteristics.The results indicate the influence of spin in quantum dusty plasma increases dispersion, as spin-particle interaction modifies the plasma's collective behavior by increasing Fermi pressure and enhancing propagation velocity.