Effect of Quantum Correction on Jeans Instability of Magnetized Radiative Plasma

The Jeans instability of infinite homogeneous plasma has been investigated in the presence of magnetic field considering the effect of radiative heat-loss function and quantum correction. In the present approach, it is initiated that the criterion of Jeans instability is modified due to radiative heat-loss function and quantum effect in the longitudinal mode of propagation, while in transverse mode, it is affected by the presence of magnetic field. The resulting curves are obtained, illustrating that the temperature dependent heat-loss function and quantum correction have a stabilizing influence on the growth rate of instability. However, density dependent heat-loss function has a destabilizing influence on the growth rate of the instability. This analytic approach first discusses the quantum plasma with radiative heat-loss function and a strong emphasis is put on the choice of appropriate change in the instability criterion.