Journal of Modern Physics, 2021, 12, 1518-1526 https://www.scirp.org/journal/jmp ISSN Online: 2153-120X ISSN Print: 2153-1196 DOI: 10.4236/jmp.2021.1211091 Sep. 9, 2021 1518 Journal of Modern Physics Electrostatic Surface Modes in Magnetized Quantum Electron-Hole Plasma Bahaa F. Mohamed 1 , Abrar A. Salah 2* 1 Plasma Physics Department, N.R.C., Egyptian Atomic Energy Authority, Cairo, Egypt 2 Physics Department, Faculty of Science, Ain-Shams University, Cairo, Egypt Abstract The excitation of electrostatic surface waves on a semibounded quantum plasma-vacuum interface parallel to an applied magnetic field with elec- tron-hole degeneracy is investigated. The wave equations of the electrostatic potential and both of the perturbed electron and hole plasma densities have been solved analytically. By using quantum hydrodynamic (QHD) model and the Poisson’s equation with appropriate boundary conditions, the general dispersion relation of these surface modes has been obtained. It is also solved and studied numerically for different cases of plasmas (magnetized or un- magnetized, classical or quantum). We have found that the density ratio of hole-electron plasma plays essential role on the dispersion of the modes along the wavelength beside the quantum and magnetic field. Keywords Surface Plasma Waves, Beam-Plasma Interaction, Quantum Plasma 1. Introduction In recent years, the plasmas physics has been widely studied and different re- search has been presented [1]-[6]. Recently, several studies of quantum plasmas have appeared in the literature [7]-[13]. Plasma can be regarded as quantum when the quantum nature of its particles significantly affects its macroscopic properties [14]. There has been a great interest in investigating physical proper- ties of quantum plasmas since the quantum plasmas can be found in various nano-scale objects such as nano-wires, quantum dot, and semiconductor devices as well as in dense laser produced plasmas [15]. There are various models to study the quantum effects in plasma, for example, the Wigner-Poisson system which involves an integro-differential system and the popular QHD model. The How to cite this paper: Mohamed, B.F. and Salah, A.A. (2021) Electrostatic Surface Modes in Magnetized Quantum Electron- Hole Plasma. Journal of Modern Physics, 12, 1518-1526. https://doi.org/10.4236/jmp.2021.1211091 Received: February 19, 2020 Accepted: September 6, 2021 Published: September 9, 2021 Copyright © 2021 by author(s) and Scientific Research Publishing Inc. This work is licensed under the Creative Commons Attribution International License (CC BY 4.0). http://creativecommons.org/licenses/by/4.0/ Open Access