从比耐公式出发，结合玻尔———索末菲量子化条件，对类氢原子电子的量子化椭圆轨道，给出了一个简化的推导，并在此基础上，对轨道的稳定性进行进一步的讨论。

A quantized elliptical orbit of electron in hydrogen_like atom is concisely derived from Binet equation with the aid of Bohr_Sommerfeld s quantized condition.

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对于有限温度情形，通过索末菲展开，得到了能量密度、自由能密度以及熵密度的解析公式。

For the case of finite temperature, the analytical energy density, entropy density and free energy density are acquired with help of Sommerfield expansion to the Fermi-Dirac integrals.

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对于有限温度情形，通过索末菲展开，得到了能量密度、自由能密度以及熵密度的解析公式。

For the case of finite temperature, the analytical energy density, entropy density and free energy density are acquired with help of Sommerfield expansion to the Fermi-Dirac integrals.

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