Dispersion Characteristics of Upper Hybrid Wave in Partially Degenerate Electron Hole Plasma

ABSTRACT The propagation of upper hybrid waves in partially degenerate quantum electron hole plasmas under weak magnetic fields is investigated within a linearized Vlasov Maxwell framework. Using Fermi Dirac statistics, a generalized dielectric response function is derived that incorporates finite temperature and degeneracy effects. The resulting dispersion relation describes high frequency modes near the plasma oscillation regime. Application to GaAs parameters shows that partial degeneracy and weak magnetization significantly modify the dispersion characteristics compared with classical predictions. Quantum statistics shift resonance conditions and introduce weak Landau damping through the imaginary part of the longitudinal permittivity. These results provide a consistent description of wave propagation in dense semiconductor plasmas relevant to weakly magnetized laboratory and nanoscale electronic systems.