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And the solution to this equation looks like this where it is written in terms of a quantity called a wavefunction.
这个方程的解法是,看起来像是写成数学符号就是,波函数。
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The electronic configuration, all it is is the shorthand notation for that one electron approximation for the Schrodinger equation for lithium.
电子构型就是，对于锂的薛定谔方程,的单电子近似的,简化形式。
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Suppose f of x, y, z equals k1, that is my equation, s1 and it gives me a solution s1.
假设我的方程是这样，然后给出了一个解。
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So, so far we don't have a way to just write off, relate them to equation of state data.
到目前为止我们还没有办法，写出他们和状态方程之间的关系。
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What this equation merely says is that the present value of your remaining payments is always equal to the mortgage balance.
这个等式说明了,剩余偿还额的现值,就等于抵押贷款的余额
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If Coke is the low price it sells this amount and its profits are basically given by this equation.
如果可口可乐价格低那它就销售这个销量,利润基本上就是由这个公式决定
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We are committed to sharing intimacy, to being friends forever but physical attraction is not part of the equation here.
我们亲密无间，一生一世,有没有激情体验无关痛痒。
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This formula doesn't tell you which way it's pointing, because it's a scaler; it's not a vector equation.
这个式子没有说明方向,因为这是一个标量而非矢量方程
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And so a person is just a P-functioning body, whether you emphasize the body side there or the personality side of that equation.
人就是有着人格功能的肉体，无论强调人格部分还是肉体部分。
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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。
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Let's try it with a different equation of state, that isn't quite as simple as the ideal gas case.
考虑一个不同的状态方程，这状态方程不像理想气体状态方程那么简单。
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What he did was took de Broglie motion of the electron as a wave and developed a wave equation for such matter waves.
他所做的就是,用电子的德布罗意运动,作为波并且对于那种物质波,给出波动方程。
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And the equation of state, pressure versus volume at constant temperature, is going to have some form, let's just draw it in there like that.
系统的态函数，恒温下压强比体积，变化曲线，就像这样。
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All right. So jumping in to having established that, yes, particles have wave-like behavior, even though no, hey're not actually photons, we can't use that equation.
好的，我们已经承认了，粒子有波动性，虽然它们不是光子，我们不能用这个方程。
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The Schr?dinger equation will give us the energy levels in molecules.
薛定谔方程会告诉我们,分子中的能级。
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You can go ahead and use that equation, or you could figure it out every time, because if you know the total number of nodes, and you know the angular node number, then you know how many nodes you're going to have left.
你们可以直接用这个方程，或者每次都自己算出来，因为如果你们知道了总的节点数，又知道角向节点数，就知道剩下的节点数是多少。
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This is going to be probably a homework at some point to do this. For now, let's take it for granted. Let's take it for granted that we know how to calculate this derivative from an equation of state like this.
这可能是将来的一个课后作业,现在，请把这当成理所当然的，理所当然地认为我们,知道怎样从一个状态,方程计算这样的微分式。
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The advantage of introducing that guy is that if you like, I can now write an equation for the acceleration as a vector.
引入它的好处是,如果你愿意的话,我可以把加速度写成矢量形式
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Again, don't worry too much about the equation, we're not really going to do any math here, I'm just putting it in for completeness.
对这个方程也不需要太深究,在这里我们不强调数学运算的,我把它写出来是为了表述完整
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So you're basically having a wave equation for a particle, and for our purposes we're talking about a very particular particle. What we're interested in is the electron.
所以你们主要有,一个粒子的波动方程，我们的目的是考虑一个特殊的粒子,我们感兴趣的是电子。
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And when you solved the relativistic form of the Schrodinger equation, what you end up with is that you can have two possible values for the magnetic spin quantum number.
当你们解相对论形式的,薛定谔方程，你们最后会得到两个,可能的自旋磁量子数的值。
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We're going to be looking at the solutions to the Schrodinger equation for a hydrogen atom, and specifically we'll be looking at the binding energy of the electron to the nucleus.
我们将研究下氢原子薛定谔方程的解,特别是电子和核子的结合能,我们将研究这部分。
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So, for example, if we're to hold the time constant, this makes it a lot simpler of an equation, because what we can end up doing is actually crossing out this whole term here.
比如说，如果我们把时间,定为常数，这使得方程,大大简化，因为我们可以把,这一项划掉。
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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。
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And we talked about the equation you can use for radial nodes last time, and that's just n minus 1 minus l.
我们讲过这个用于,计算径向节点的方程，也就是ｎ减去ｌ减去１
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And this is Erwin Schrodinger, and this is the equation that he put forth where we have hat psi being equal to e psi.
这就是埃尔文？薛定谔，在这个方程中,他提出,所以，让我们来解释一下。
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