Abstract
Applying the separate spin evolution-quantum hydrodynamic model incorporating Coulomb exchange interaction, the instabilities of upper hybrid mode and beam driven mode due to passing of electron beam in a spin polarized degenerate plasma are studied. It is found that the electron spin not only changes the growth rate of these modes but also gives birth to a new spin-dependent wave (spin electron acoustic wave) in the real frequency spectrum. Further, the Bohm potential and exchange interaction effects significantly affect the frequency spectra of upper hybrid mode. Other parameters like streaming speed of beam electron and beam density are also found to influence the growth rate of these modes. These consequential effects may have a strong bearing on the wave and instability phenomena in the solid state plasmas.