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Field-Induced Degeneracy Regimes in Quantum Plasmas

It is shown that in degenerate magnetized Fermi-Dirac plasma where the electron-orbital are quantized distinct quantum hydrodynamic (QHD) limits exist in which the nonlinear density waves behave differently. The Coulomb interaction among degenerate electrons affect the electrostatic nonlinear wave dynamics more significant in the ground-state Landau quantization or the so-called quantum-limit ($l=0$) rather than in the classical-limit ($l=\infty$). It is also remarked that the effective electron quantum potential unlike the number-density and degeneracy pressure is independent of the applied magnetic field in the classical-limit plasma, while, it depends strongly on the field strength in the quantum-limit. Current findings are equally important in the study of wave dynamics in arbitrarily-high magnetized astrophysical and laboratory dense plasmas.