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In the inertial confinement fusion process, turbulent induced by Electromagnetic instabilities is of scientific interest that it plays a significant role in the energy deposition mechanism. In this work, the quantum effects and the influence of plasma turbulence of the fuel fusion induced by plasma instability on the growth of the transverse electromagnetic modes by the Wigner-quasi Maxwell model have investigated. The results have shown that in the presence of plasma wave turbulence, as the quantum parameter increases, the stress threshold decreases, and the range of the propagation angles of growing modes of instability in plasma becomes wider. By increasing the quantum effects, anisotropy in the phase space has enhanced, and the instability growth rate has reduced. At the large wavelengths limit, When R>10^-9, the electromagnetic instability growth rate would tend to be a constant value that is independent of the quantum parameter of the fuel plasma, R. Increasing the density gradient and the temperature anisotropy by a factor of 10, leads to about 68% and 33% increment in the instability growth rate.

Keywords: Plasma Turbulence, Quantum Effects, Electromagnetic Instability, Temperature anisotropy

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