李志陽(yáng)

【摘 要】本文研究三維理想費(fèi)米氣體的熱力學(xué)性質(zhì)，應(yīng)用局域密度近似（LDA）方法求出處于冪函數(shù)型外勢(shì)下的三維理想費(fèi)米氣體的總能E，費(fèi)米能，高低溫極限下的化學(xué)勢(shì)和熱容量C的表達(dá)式。討論外勢(shì)對(duì)三維理想費(fèi)米氣體熱力學(xué)性質(zhì)的影響。并對(duì)自由費(fèi)米氣體和外勢(shì)下理想費(fèi)米氣體的熱力學(xué)性質(zhì)進(jìn)行比較。

【關(guān)鍵詞】費(fèi)米氣體;冪函數(shù)型外勢(shì);局域密度近似

中圖分類號(hào)： O414.1 文獻(xiàn)標(biāo)識(shí)碼： A文章編號(hào)： 2095-2457（2019）28-0111-002

DOI：10.19694/j.cnki.issn2095-2457.2019.28.048

【Abstract】Thermodynamic properties of an Ideal Fermi Gas are studied basing on the local density approximation. The total energy E，F(xiàn)ermi energy，chemical potential? and heat capacity C in the high-and low-temperature approximations in a Three-Dimensional Space trapped in a generic power-law potential are derived.The influence of thermodynamic properties of an Ideal Fermi Gas by the power-law potential are discussed.And the thermodynamic properties of a freedom Fermi Gas are compared with an ideal Fermi Gas trapped in a generic power-law potential by using the list.

【Key words】Fermi gas; Generic power-law potential; Local density approximation