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The proper quantum plasma treatment of the electron gas in degenerate starssuch as white dwarfs provides an additional quantum contribution to theelectron pressure. The additional pressure term modifies the equation forhydrostatic equilibrium, resulting in the quantum modified Lane-Emden equationfor polytropic equation of states. The additional pressure term also modifiesthe expression for the limiting Chandrasekhar mass of white dwarfs. Anapproximate solution is derived of the quantum modified Lane-Emden equation forgeneral polytropic indices, and it is demonstrated that the quantum correctionsreduce the standard Chandrasekhar mass and enhance the white dwarf radius bynegligibly small values only.

Quantum plasma modification of the Lane-Emden equation for stellar structure