这是你们要在统计力学中证明的东西，所以我们不用担心这个从何而来。
This is something that you're going to prove in statistical mechanics, and so we're not going to worry about where this comes from.
从统计力学角度看，它们就是态和能级。
From a statistical mechanics point of view, it's just states and levels.
这就是统计力学的要做的。
尤其是统计力学。
并开始统计力学。
在热力学或者统计力学中。
开始讲授统计力学。
现在我们知道怎么，算自由能，通过统计力学计。
And now we know how to calculate that from first principles, through statistical mechanics.
我们能用统计力学方法来分析星体物质的性能。
We can analyze by statistical mechanics the behavior of the stellar substance.
那么我们来看看，用统计力学来处理又会发生什么。
So let's see what happens in a statistical mechanical treatment.
总结归纳了经典统计力学与量子统计力学的基本假设。
The classical and quantum statistical mechanics discussed in detail are those of hypotheses which possess axiomatic properties.
这是反复出现的在统计力学中，在很多系统中，你会有简化的极限。
And this is something that recurs in statistical mechanics, in an enormous number of systems where you have simplified limits.
思想是你可以，用量子化的能级处理统计力学，就像我们刚才做的。
And the idea that, well, that you could then do the statistical mechanics with quantized levels, just the way we've done it.
教授：上一节课我们开始，了一个新的题目，即统计力学。
PROFESSOR: So, last time we started in on a discussion of a new topic, with was statistical mechanics.
基于量子理论的统计力学：应用在原子与粒子的行为上。
Pauli exclusion principle; applies to the behavior of atoms and particles.
评价了统计力学在开发状态方程中的作用，并指出了其局限性。
The function and limits of statistical thermodynamics in the developing of EOS are valued.
换句话说，宏观的热力学性质可以，从微观模型，的统计力学得到。
So in other words, macroscopic thermodynamic properties come straight out of our microscopic model of statistical mechanics.
你会学到在统计力学中，是如何用原子论的概念，阐释热力学的。
You'd learn about statistical mechanics, and how the atomistic concepts rationalize thermodynamics.
这一结果为非扩展统计力学框架内的系综等效性研究提供新的证据。
This result provides a new proof for the researches of ensembles equivalence in the frame of non-extensive statistical mechanics.
基于热力学对比状态理论，建立了形状因子对应态的统计力学模型。
Based on the contrast state theory, the statistical mechanics model of form factor contrast state was established.
三年级物理：选修：光学、热力学、统计力学、早期的原子和核理论。
Third year physics - a selection from: optics, thermodynamics, statistical mechanics, beginning atomic and nuclear theory.
为了建立相对论经典统计力学，分布函数的规格化条件必须明确定义。
The normalization condition of a distribution function should be defined explicitly for establishing relativistic statistical mechanics.
比如说理想气体膨胀时的，不是热力学的角度来计算它，现在从统计力学。
For instance, if you look at an expansion of an ideal gas, Not based on thermodynamics, ut based on the statistical mechanics.
基于四核苷酸参数提出一个统计力学模型用于分析大肠杆菌基因组柔性。
Based on tetranucleotide parameters, a statistical mechanical model was suggested to analyze the flexibility of the Escherichia coli genome.
所以这些简单的极限的例子,起到重要的作用,在统计力学的简化,和通常的计算中。
So these simpler limiting cases play a huge role in simplifying statistical mechanics and the calculations from them generally.
文章用通常的统计力学方式计算了非平衡系统某类阈值在倍增噪声下的移动。
The paper calculates it when the systems are lying in the nonequilibrium state, that threshold is shifted by the multiplicative noise.
除了狭义和广义的相对论外，他的研究还促成了量子力学和现代统计力学的出现。
Besides special and general relativity, his work helped to launch quantum mechanics and modern statistical mechanics.
波尔兹曼用统计力学的方法建立了热力学第二定律的数学描述，提出了涨落理论。
Based on the statistical mechanice, professor Boltzmann established the mathematical theory of second Iaw of thermodynamics and fluctuation theory.
波尔兹曼用统计力学的方法建立了热力学第二定律的数学描述，提出了涨落理论。
Based on the statistical mechanice, professor Boltzmann established the mathematical theory of second Iaw of thermodynamics and fluctuation theory.
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