恒星结构Lane-Emden方程的量子等离子体修正
Quantum plasma modification of the Lane-Emden equation for stellar structure
摘要：
在诸如白矮星这样的简并恒星中，对电子气进行适当的量子等离子体处理，会对电子压力产生额外的量子贡献。附加的压力项修正了流体静力平衡方程，得到了多方状态方程的量子修正的Lane-Emden方程。附加的压力项也修正了白矮星极限质量的表达式。本文导出了一般多变指数下量子修正的Lane-Emden方程的近似解，并证明了量子修正只使标准的Brachasekhar质量减小，而使白矮星半径增大了很小的值。
英文摘要：
The proper quantum plasma treatment of the electron gas in degenerate stars such as white dwarfs provides an additional quantum contribution to the electron pressure. The additional pressure term modifies the equation for hydrostatic equilibrium, resulting in the quantum modified Lane-Emden equation for polytropic equation of states. The additional pressure term also modifies the expression for the limiting Chandrasekhar mass of white dwarfs. An approximate solution is derived of the quantum modified Lane-Emden equation for general polytropic indices, and it is demonstrated that the quantum corrections reduce the standard Chandrasekhar mass and enhance the white dwarf radius by negligibly small values only.
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