n维低温强简并与完全简并理想费米气体的性质

The Universal Description of Arbitrary Dimensional Ideal Fermi Gas Under the Conditions of Complete Degeneration and Strong Degeneration of Low Temperature

推导了能谱为ε=aps的n维理想气体的量子态密度,内能和压强的关系,并给出了n维完全简并、低温强简并理想费米气体的化学势、内能、简并压等热力学量的普遍表达式,通过分析比较得出T趋近于0 时,低温强简并各热力学量过渡到完全简并的结论.

we derive the quantum state density, the relation of internal energy and the pressure of arbitrary dimensional ideal gases that have energy spectrum of e = ap5 , and then offer the universal descriptions of chemistry potential, internal energy ,degenerate pressure and relative fluctuation of arbitrary dimensional ideal Fermi gases, through analysis and comparison, we draw a conclusion that when temperature approaches zero, thermodynamic quantities of high degenerate Fermi gases under low temperature trend to that of the complete degenerate Fermi gases.