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

The power of linearity is F=k1+k2 if I come across f of x, y, z equals k1 plus k2, if it is a linear equation, I don't have to go and solve it all over again.

线性的威力是,一个方程，如果它是个线性方程，那么我就不用再去解他了。

麻省理工公开课 - 固态化学导论课程节选

You can find the equation, but you've got to think a little bit before you solve everything.

你能写出方程式,不过在解题之前你最好能稍作思考

耶鲁公开课 - 基础物理课程节选

You'd pull out your pencil and paper, you can do it as a matrix inversion if you know how to do that, or you can just simply do substitution of one equation into another to solve it.

你知道你在小学的时候是怎么做的对吧？,你拿出你的笔和纸,如果你会的话,你可以解一个方程组,或者你可以单纯地。

麻省理工公开课 - 计算机科学及编程导论课程节选

So you can see that we're starting to have a very complicated equation, and it turns out that it's mathematically impossible to even solve the exact Schrodinger equation as we move up to higher numbers of electrons.

所有你们可以看到我们得到了,一个非常复杂的方程，结果是它在数学上是,不可能解出确定的,薛定谔方程,当我们考虑更高的电子数目的时候。

麻省理工公开课 - 化学原理课程节选

I'm just trying to solve out for the equation of this point.

我刚才就是为了解方程

耶鲁公开课 - 博弈论课程节选

Let's quantify the energy value. If you go through and solve for energy, you will get this equation.

我们来确定一下能量值，如果你试图寻找,解决能量问题，你能得到一个方程式。

麻省理工公开课 - 固态化学导论课程节选

So if we want to solve for ionization energy, we can just rearrange this equation.

因此，要想解出电离能，我们只需要将这个方程中的项变换一下位置。

麻省理工公开课 - 化学原理课程节选

Not only did he formulate laws of gravitation, he also invented calculus and he also learned how to solve the differential equation for calculus.

他不仅找出了引力定律的公式,还发明了微积分,同时也得出了微分方程的解法

耶鲁公开课 - 基础物理课程节选

I am going to show the equation, but I don't expect you to solve it.

我将给出这个方程式，但我不期望你可以得出解。

麻省理工公开课 - 固态化学导论课程节选

So, we just want to appreciate that what we'll be using in this class is, in fact, the solutions to the Schrodinger equation, and just so you can be fully thankful for not having to necessarily solve these as we jump into the solutions and just knowing that they're out there and you'll get to solve it at some point, hopefully, in your careers.

所以，我们仅仅想要鉴别,将会在这门课中用到的，事实上就是薛定谔方程的解，而且你们可以非常欣慰,因为你们没有必要去,解这些方程而是直接用它们的解,并且知道这些解出自那里,希望你们在学习生涯中。

麻省理工公开课 - 化学原理课程节选

We don't always want to go and solve the Schrodinger equation, and in fact, once we start talking about molecules, I can imagine none of you, as much as you love math or physics, want to be trying to solve this Schrodinger equation in that case either. So, what Lewis structures allow us to do is over 90% of the time be correct in terms of figuring out what the electron configuration is.

我们并不想每次都去解薛定谔方程，而且实际上，一旦我们开始讨论分子，我可以想象,你们中没有一个人，不管你有多么热爱数学或物理，会想去解这种情况下的薛定谔方程,总之，路易斯结构能让我们,有超过，90%，的概率判断出正确的,电子排布。

麻省理工公开课 - 化学原理课程节选

But, as I said before that, we have some more quantum numbers, when you solve the Schrodinger equation for psi, these quantum numbers have to be defined.

但我说了，我们还有，其它的量子数，当你解，psi的薛定谔方程时，必须要，定义这些量子数。

麻省理工公开课 - 化学原理课程节选

What is y-y0? The final y is 0, the initial y is 15. You solve for that equation and you will find the final velocity.

-y0是什么,末态的y是0,初态的y是15 你们已经得到,然后你可以找到最终速度

耶鲁公开课 - 基础物理课程节选

So, let's say we start off at the distance being ten angstroms. We can plug that into this differential equation that we'll have and solve it and what we find out is that r actually goes to zero at a time that's equal to 10 to the negative 10 seconds.

也就大约是这么多,所以我们取初始值10埃,我们把它代入到,这个微分方程解它,可以发现，r在10的,负10次方秒内就衰减到零了。

麻省理工公开课 - 化学原理课程节选

Solve this equation for t*, put it there and that's where you land.

从这个等式里解出 t*,代入那个式子就知道落点了

耶鲁公开课 - 基础物理课程节选