We can't actually go ahead and derive this equation of the wave function squared, because no one ever derived it, it's just an interpretation, but it's an interpretation that works essentially perfectly.

从这个方程中,导出，波函数的平方，没有人可以这样做，这仅仅是一种解释，但这种解释，能解释的很好，自从它第一次被提出来之后。

麻省理工公开课 - 化学原理课程节选

We looked at the wave functions, we know the other part of solving the Schrodinger equation is to solve for the binding energy of electrons to the nucleus, so let's take a look at those.

我们看过波函数，我们知道解,薛定谔方程的其他部分,就是解对于原子核的电子结合能，所以我们来看一看。

麻省理工公开课 - 化学原理课程节选

And for the sake of this class, we're going to consider most gases to be ideal gases. Questions?

有问题吗？好，现在，这一方程建立了,三个状态函数之间的联系：

麻省理工公开课 - 热力学与动力学课程节选

psi The solution of the Schr?dinger equation is psi, a wavefunction.

那薛定谔方程的解是什么，是，一个波函数。

麻省理工公开课 - 固态化学导论课程节选

So here's Player I's payoff as a function of what Player II chooses and what Player I chooses, so we have that already.

这个就是参与人I的收益的方程,它是参与人I和II策略的函数,我们已经得到了

耶鲁公开课 - 博弈论课程节选

If you look in your book there's a whole table of different solutions to the Schrodinger equation for several different wave functions.

如果你们看书的话,上面有一整张,许多，不同波函数,薛定谔方程解的表。

麻省理工公开课 - 化学原理课程节选

And on Monday what we were discussing was the solution to the Schrodinger equation for the wave function.

周一我们讨论了,薛定谔方程解的波函数。

麻省理工公开课 - 化学原理课程节选

And we also, when we solved or we looked at the solution to that Schrodinger equation, what we saw was that we actually needed three different quantum numbers to fully describe the wave function of a hydrogen atom or to fully describe an orbital.

此外，当我们解波函数,或者考虑薛定谔方程的结果时，我们看到的确３个不同的量子数,完全刻画了氢原子,的波函数或者说轨道。

麻省理工公开课 - 化学原理课程节选

In this case, V = /P. Have two quantities and the number of moles gives you another property. You don't need to know the volume. All you need to know is the pressure and temperature and the number of moles to get the volume.

以及气体的摩尔数,就可以得到第三个量,知道压强，温度和气体的,摩尔数就可以推导出气体的体积,这称为状态方程,它建立了状态函数之间的联系。

麻省理工公开课 - 热力学与动力学课程节选

So we'd really like to be able to find some sort of equation of state, or some sort of rather function of state that's going to relate the heat going in or out of the system with that function of state, because this isn't going to do it.

所以我们真的想要去,找到一些态方程或者态函数,通过这个态函数可以表示热量,在系统与外界的交换,因为这个不能表示它。

麻省理工公开课 - 热力学与动力学课程节选

The more important thing that I want you to notice when you're looking at this wave equation for a 1 s h atom, is the fact that if you look at the angular component of the wave function, you'll notice that it's a constant.

我要你们注意的,更重要的一点是,当你们看到,这个氢原子1s轨道方程的时候，如果你们看,波函数，的角向部分，你们会发现它是一个常数。

麻省理工公开课 - 化学原理课程节选

So here's the straight line, and this line is the expected payoff to Player I from choosing Down as it depends on the probability that the other person chooses Right, and then once again, we can write down the equation.

这就是第三条直线了,它表示参与人I选择下获得的收益,是另一个参与人,选右概率的一个函数,对于这一条直线,我们依然能够给出方程式

耶鲁公开课 - 博弈论课程节选