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But when you solve the Schrodingerequation, you don't get just a set of solutions that are dependent upon one number.
但当你解薛定谔的方程式时，你没得到有一个统一答案的,一系列解决方法。
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So, we'll pick up with that, with some of the solutions and starting to talk about energies on Friday.
会去解薛定谔方程的某个方面，我们在周五,将从一些薛定谔方程的解开始。
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You get a set of solutions that are dependent upon -These quantum states fall out of the solution to this equation.
你得到一系列的解,这些解依赖于量子状态,和方程解不相干的解。
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You're going to work out what firm's demands are going to look like for each possible price they could set.
你们要解出,公司针对每一个其可能设定的价格,它的需求是什么
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Seems like, as far as I can tell, it's still a possibility that although there're a lot of puzzles here.
在我看来，这种可能性是存在的,尽管还有很多未解的疑团。
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If the time you are interested in is not zero, you're allowed to cancel it and get the time from here.
如果你们关注的解不是零时刻,那么就可以忽略它,然后从这里解出时间
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This was no Saint Francis with enough time to knock out a few canticles or to preach to the birds or do any of the other endearing things so close to Franny Glass's heart.
圣人弗朗西斯没有足够的时间去,来唱颂歌或者向鸟儿告解或者做任何,其他讨喜的事情，正合弗兰尼的心意。
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The perspective is tricky-- and so we're trying to find the roots.
从视图上来看可能比较困难,因此我们来试试找到这个问题的解。
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Now just working with the four-note motive here-- A strange little dissonant chord there resolving to consonance.
现在四音符的动机出现,这有一段有点不和谐的和弦,解构成和谐音
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I'm going to shift and spend the rest of this class on a couple of mysteries.
本节课接下来的时间,我们来讲几个心理学未解之谜。
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How could such a debauched character possibly understand the mysterious truths about chastity?
这样一个行为不检点的人物,怎么可能明白关于贞节的难解的事实呢？
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That will be something left to see.
这将是待解的问题。
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You can do that by gently adding heat and making it basic, but you make the two DNA strands separate.
你可以通过逐渐加温并使之碱化的方法,使双链DNA解旋
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So, what we can do instead of talking about the ionization energy, z because that's one of our known quantities, so that we can find z effective.
我们做的事可以代替讨论电离能,因为那是我们知道的量子数之一，那是我们可以解出有效的，如果我们重新排列这个方程。
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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 if you demonstrate something by writing an intelligent answer just by outlining it and saying, well, what I would do is I would equate the energy lambda and then solve for lambda, I can see that you know what is going on.
如果你想证明一些东西,通过写下一些很天才的答案,仅仅大致说一下，好的，我想做的是能量相等,然后解出，我能看到你知道怎么做。
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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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Somebody who's not a math major, tell me how I solve out for the maybe the math majors can't do it actually, it's too simple.
谁不是数学专业的,告诉我们怎么解呀,数学专业的觉得它太简单而不屑去解
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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。
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The basic idea in solving these equations and integrating is you find one answer, so then when you take enough derivatives, the function does what it's supposed to do.
解决这类方程以及积分的基本思想就是,你求出一个解,然后进行多次求导,求导的结果就满足条件
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What is the solution to the Schr?dinger equation?
那薛定谔方程的解是什么？
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Final topic is laughter and this is a true mystery.
最后要讲的是笑,这是一个真正的未解之谜。
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We don't have to worry about how you solve it, but it's problem in mathematics and the answer will be--surprise, it's going to be oscillating back and forth and that'll come out of the wash.
我们没必要去担心这个方程该怎么解,但这个数学问题的答案将会是令人惊讶的,弹簧会来回振荡,问题就迎刃而解了
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It tells me that the best response to S2 is the ?1 that solves this equation, that solves this first order condition.
我们得出S2的最佳对策是?1,?1是这个方程的解,它满足一阶条件
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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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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。
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We'll be using the solutions, so you shouldn't have a problem, but I wanted to point it out so it does not look too strange to you.
我们将会用它的解，所以你们不应该问题，但是我想提出它,这样你们就不会对它太陌生。
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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。
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