Degeneracy in Magneto-Active Dense Plasma

Haifa A Al-Yousef,Alkesh Punjabi,Sh M Khalil

doi:10.1155/2020/6495807

Abstract

Degenerate dense plasmas are of great interest due to their important applications in modern technology and astrophysics. Such plasmas have generated a lot of interest in the last decade owing to their importance in many areas of physics such as semiconductors, metals, microelectronics, carbon nanotubes, quantum dots, and quantum wells. Besides, degenerate plasmas present very interesting features for fusion burning waves’ ignition and propagation. In this paper, we investigated the effects of static magnetic field on energy states and degeneracy of electrons in dense plasma. Using perturbation theory, two cases are considered, strongly and weakly magnetized electrons. Strong magnetic field will not eliminate completely the degeneracy, but it functions to reduce degeneracy. Perturbed energy eigenvalues ΔE are calculated to high accuracy. Besides, regardless of whether the perturbed state is degenerate or not, the energy ΔE is given by considering the average of orbital and spin coupling Ws=ℵrL→·S→ with respect to the eigenfunction Ψn,l,m,ms. Here L→ is the angular momentum vector, S→ is the spin vector of electrons, and ℵr is the energy of spin orbit coupling in plasma, which plays a crucial role in the study of energy states and degeneracy of plasma electrons.

Highlights

When the plasma density is increased sufficiently, quantum effects become very interesting. is includes degeneracy effects, which becomes important when 푇
Quantum or degenerate plasmas are of great interest due to their important applications in modern technology and astrophysics. Such plasmas have generated a lot of interest in the last decade owing to their importance in many areas of physics such as semiconductors, metals, microelectronics [16] carbon nanotubes, quantum dots, and quantum wells [17,18,19]
We investigated the effects of static magnetic field on energy states and degeneracy of electrons in dense plasma

Summary

Introduction

Quantum or degenerate plasmas are of great interest due to their important applications in modern technology and astrophysics. The field of quantum plasma physics is becoming of an increasing current interest [22,23,24,25], motivated by its potential applications in modern technology (e.g., metallic and semiconductor nanostructures-such as metallic nanoparticles, metal clusters, thin metal films, spintronics, nanotubes, quantum well and quantum dots, nano-plasmonic devices, quantum X-ray free-electron lasers, etc.). In dense quantum plasmas and in the Fermi gas of metals, the number densities of degenerate electrons are extremely high so that their wave functions overlap, and electrons obey the FermiDirac statistics. We investigated the effects of static magnetic field on energy states and degeneracy of electrons in dense plasma. Perturbed energy eigenvalues Δ퐸 are calculated to high accuracy. e energy of spin orbit coupling in plasma, which plays a crucial role in the study of energy states of plasma electrons, is calculated

Basic Set of Equations

Strongly Magnetized Plasma

Weakly Magnetized Plasma

Results and Conclusions