On the Quantum Correction for Thermodynamic Equilibrium
On the Quantum Correction for Thermodynamic Equilibrium
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DOI：
10.1063/1.1746445
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发表时间：
1947-03
影响因子：
4.4
通讯作者：
J. Mayer;W. Band
中科院分区：
文献类型：
--
作者：
J. Mayer;W. Band
在足够高的温度下，任何系统的行为都与exp exp的概率相对应。对于多个自由度的系统，即对这种系统的许多依赖分子之一，这表明我们可以用u -ktf中的指数中的经典潜力U代替F，而F与Wigner的功能相同。
The behavior of any system at high enough temperatures approaches that of its classical counterpart. The probability of any configurational position is then proportional to exp—U/kT, with U the potential energy. Wigner has shown that quantum‐mechanical deviations, as the temperature is lowered, may be approximated by multiplication of this with 1–f, where f is a function proportional to h2 and having terms in T−2 and terms in T−3. This type of approximation is unsatisfactory for a system of many degrees of freedom, that is, one of many dependent molecules. For such a system it is shown that instead of Wigner's approximation we may replace the classical potential U in the exponent by U—kTf, where f is the same as Wigner's function.