  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.
