2024/11/18 by Tian-Xing Hu, Hu, T. X., Dingyu Wu +3
Physics and Astronomy · #Dust and Plasma Wave Phenomena #FOS: Physical sciences #Ionosphere and magnetosphere dynamics #Magnetic confinement fusion research #Plasma Physics (physics.plasm-ph)
paper · pdf · doi:10.48550/arxiv.2411.11489
openalex publication_date 2024/11/18 · openalex created_date 2024/11/21 · openalex updated_date 2026/07/28
The Bernstein wave is a well-known electrostatic eigen-mode in magnetized plasmas, and it is of broad connection to multiple disciplines, such as controlled nuclear fusions and astrophysics. In this work, we extend the Bernstein mode from classical to quantum plasmas by means of the quantum kinetic theory in a self-consistent manner, and especially the quantum version of the Harris dispersion relation is derived. The studied quantum effects appear in the form of pseudo-differential operators (\textgreekYDO) in the formula, which are exactly solved using numerical methods. Furthermore, by utilizing the magnetized equilibrium Wigner function, Landau quantization and finite temperature effects are rigorously contained. It is found that behaviours of the quantum Bernstein wave departure significantly from its classical counterpart, especially when ℏωc is of the same order of the Fermi energy.