Spin force analysis using the Brillouin function for spin half particles in magnetised non-relativistic quantum plasma

The uncertainty of Heisenberg and exclusion concepts are applicable when electron wave functions overlap. Since fermions are affected by a spin force with the Brillouin function, Quantum magneto hydrodynamic equations have been developed for studying the spin force effects on the system. The Normal Mode Analysis method is used to solve the QHD equation for nonrelativistic degenerate inhomogeneous quantum plasma. Following linearization, the first order perturbation of the densities and velocities of plasma species are observed, which are used in Poission’s equation to obtain dispersion relation. Influence of spin force using Brillouin function for half spin particles along with Bohm Potential will be observed in a quantum plasma model consisting of degenerate electron along with non-degenrate positive ions. The results will have impact on both plasma-aided nanotechnology and the dispersion relation for quantum plasma instability