Scattering of quantum hydromagnetic waves in a semiconductor plasma

Kiamehr, Zeynab; Kiamehr, Zohreh

doi:10.57647/j.jtap.2023.1705.48

Original Article

Scattering of quantum hydromagnetic waves in a semiconductor plasma

Authors

Zeynab Kiamehr * ^{1, 2}
Zohreh Kiamehr ³

Abstract

In addition to the fact that waves have been proven in different plasma environments, they have also been investigated under different physical regimes. In this research, the propagation of electromagnetic waves in quantum semiconductor plasma in the presence of a uniform external magnetic field was investigated using the quantum hydro magnetism model. The researches that have been done so far about these waves have mostly been done in classical or relativistic regimes. Some cases have been studied to study linear waves in quantum plasma, taking into account the quantum Bohm potential without investigating the effect of the spin characteristics of plasma particles. In addition to the simultaneous study of spin and quantum effects of semiconductor plasma components, exchange-correlation relationships have not been found in any research, and the most important novelty of the present work can be considered the addition of these relationships together. The obtained results show that the effects of quantum and external magnetic fields have a significant effect on the scattering of hydromagnetic waves, which causes the appearance of nonlinear terms in the scattering relationship. By increasing the linear part of the electron spin in the sputtering relation, some relations have been modified, including the Alfven velocity. On the other hand, the effect of electron spin leads to the reduction of the effect of other quantum potentials on the scattering of waves. In the end, some special states of classical and quantum systems are also discussed. Considering the limit states, the results of the present work are exactly similar to the results of other researchers, and this can be a self-confirmation of the obtained results.