  Consider a non collisional quantum plasma, where electrons stream with a
velocity u0 relative to the ions, which are assumed to be initially at rest due
to their mass. A quantum dispersion relation is obtained having considered the
Bohm interpretation of Quantum Mechanics by means of Quantum
Magnetohydrodynamics. This quantum dispersion relation contains the classical
non dimensional parameter Kappa and the quantum non dimensional parameter H. A
quartic equation ( Aw 4+Bw 3+Cw 2+Dw+E =0, where w is the normalized frequency
) is obtained from the quantum dispersion relation. So the novel approach to
the quantum Buneman instability consists in having solved for the first time
this quartic equation in order to obtain the instability intervals. My next
paper will show how the values of kappa and H can be replaced by the initial
velocity u0 in the quantum instability intervals obtained in this paper.
