Reborn and become a Great Scientist

Chapter 137 85 Guessing an Equation
Seeing the situation in front of him, Chen Muwu really wanted to curse.

Isn't it just for a few matrices, as for waking yourself up early in the morning?
Can you have the least respect for the new Olympic champion?

But after fully waking up, Chen Muwu felt that his state was not right again.

It is much easier to achieve results in the Olympic Games than in physics.

Every time a new paper is published in physics, or a new experiment is made.

It is difficult for Chen Muwu to get feedback immediately, even if there is, most of them are negative.

For example, when it was proposed that light is also a particle, Bohr immediately combined with two other people to propose the bks theory to resist it.

For example, when he proposed that electrons are also a kind of wave, even his teacher Rutherford stood on the opposite side of him at the beginning.

And in the past few days in the Olympic Games, every time the auditorium by the swimming pool is always full of spectators who come to cheer for him.

As long as he achieves results, he will immediately get feedback from the audience.

Chen Muwu felt that it might be the applause and cheers that made him gradually lose himself.

However, the honor brought by sports comes and goes quickly.

There are talented people from generation to generation, and it won't take long for his record to be broken by someone with better skills and faster swimming.

However, the theories published and contributions made in physics are "not to waste the eternal flow of rivers and rivers".

So since Chen Muwu knows that his theories are correct, there will never be a tragedy where Boltzmann is pushed out by his colleagues to commit suicide.

Chen Muwu thought that he must get out of the state of the Olympic Games as soon as possible and return to the embrace of physics.

So after a few minutes of sitting on the bed with glazed eyes, he suddenly awoke from self-reflection.

De Broglie was taken aback by Chen Muwu's surprise, but unexpectedly, the other party had already jumped off the bed.

"Let's go Louis, let's study this matrix!"

"Chen, it's not... so urgent, we can have breakfast first!"

……

After a traditional French aristocratic breakfast, Chen Muwu and De Broglie sat side by side on the same side of a table.

In front of them are blank paper and pens, as well as a few math books borrowed by de Broglie from the library.

"Okay, Mr. Chen, I'm ready and I can start the lecture now."

"Louis, throw all your books aside, I'm going to give up the Matrix."

Chen Muwu said calmly, but De Broglie was a little shocked and puzzled after hearing this: "Chen, what do you mean?"

"When I was swimming these days, looking at the sparkling water surface in the water, I suddenly had a new inspiration," Chen Muwu began to talk nonsense seriously, "When I saw the water waves, I thought of the electron I mentioned. Wave.

"Since an electron is also a kind of wave, shouldn't it also have a wave equation to describe its specific motion?
"Today, let's discuss what this wave equation should look like."

There is no other way, it seems that if he doesn't show something real today, De Broglie will definitely not let himself go.

"Do you know what Boltzmann's entropy formula is?"

De Broglie was a little unconvinced: "Of course I know. I am a Ph.D. in physics from the University of Paris. How dare you ask me such a pediatric question? Isn't it just S=klogW?"

"That's right, that's it." Of course Chen Muwu knew what the formula should look like, and he deliberately asked the question, just to make De Broglie feel more involved.

"We can get W=e^(S/k) by slightly deforming this formula, right?

"So since we want to study quantum issues, it's no problem to replace the macroscopic Boltzmann constant k with the microscopic reduced Planck constant h/2π, right?

"And we are looking for a wave equation, so it is reasonable to add an imaginary unit i in it, no problem?"

While talking, Chen Muwu transformed the equation on the paper into W=e^(2πiS/h).

"Now, it is necessary to find out what this S is. It must not be entropy anymore, because the unit of entropy is joule per kelvin, and the unit of Planck's constant is joule second. If these two things are divided, and It is not a dimensionless quantity, but the exponential function requires that the independent variable must be dimensionless.

"That is to say, the dimension of S should also be joule seconds. So, S should also be a certain kind of action."

"Is it possible, what angular momentum is he?"

De Broglie was very involved, although he provided a wrong answer.

"I don't think so," Chen Muwu shook his head, "Do you know the Hamilton-Jacobi equation in classical mechanics?"

"Chen, your question is getting simpler and simpler. I feel that you are deliberately looking down on me because you are a genius. Of course I know this equation!"

De Broglie snatched the pen from Chen Muwu, and quickly wrote down the formula S/t+H=0 on the paper.

"Isn't this the one?"

He slapped the pen on the table angrily.

Chen Muwu picked it up again, pointed to the S in the formula with the tip of his pen and said, "Look at this S, does its dimension just happen to be an action?"

"Yes."

"Then if we bring in the formula just now, will it become like this?"

Chen Muwu continued to write down ihW/t=HW/2π on the paper.

"Look, isn't this just the standard form of a wave equation?

"In order to represent the difference between classical mechanics and quantum mechanics, we slightly change the Latin letters in them into taller Greek letters, and we can become ihΨ/t=HΨ/2π.

"Of course, in classical mechanics, H represents the Hamiltonian, but in the microscopic world, we can also learn from it, and put a hat on it to become a Hamiltonian operator."

Chen Muwu changed the subject: "Louis, since you have read a lot of math books during the days of my competition, even if you haven't learned anything else, you can always accept things like operators now, right? So the derivation process , Do you think there is anything you didn't understand?"

De Broglie nodded: "It's very simple, I understand it completely. But Chen, what is the connection or difference between the equation you obtained and the matrix mechanics developed in your previous paper? ?"

Of course there is a connection, but I can't say yet.

Because this is at least worth a paper!

So Chen Muwu used another thing to temporarily fool De Broglie: "Louie, don't worry about this matter, let's look at something else first, like this, this, and that,... , and finally get, E(n, l, m)∝-1/n^2.

"Look, isn't this the result of Bohr's atomic model? And this energy distribution can be found naturally, relying on three quantum numbers n, l, m, and there is no need to make preconceived assumptions like Bohr The existence of angular momentum quantum numbers can be derived directly and naturally."

De Broglie was obviously taken aback by Chen Muwu's tiger-like maneuver.

After a long time, he said: "Chen, I am convinced, I am convinced, your derivation is really amazing, even if you give me a hundred brains, I may not be able to learn from Boltzmann." The wave equation of electrons is deduced from the entropy formula, I really don’t know that the two can be connected in this way.”

Chen Muwuxin said that there is a simpler and more intuitive derivation process than this.

It's just that on a whim, he reproduced the entire process of Schrödinger's "guessing" of the wave equation.

Of course, there are also some differences from the original version.

In the cabin of the ski resort in Innsbruck, the one who accompanied Schrödinger was one of his many confidante besides his wife Annie.

After the two had an affair overnight, Schrödinger got it by chance and created a good story.

But now there is no beautiful woman by Chen Muwu's side, and de Broglie, who is gradually showing signs of balding, is with him.

Chen Muwu felt that he had lost money this time around.

"However, Chen," just as he was still reminiscing about the past, de Broglie interrupted Chen Muwu's thinking again, "But, I remember that you proposed the fourth quantum number at the Solvay meeting Why? Why did you only solve three of them in your wave equation?"

Uh……

You can't tell him this question directly.

Because it is also worth writing another paper.

"This problem will naturally be solved in the future. However, if you go back and look at the previous matrix mechanics, now it is replaced by the wave equation, isn't it much simpler?"

De Broglie nodded: "That's true, I've been studying the matrix mechanics for almost a month, but I haven't been able to use your method to solve the spectrum of hydrogen atoms.

"But we are sitting here now, from deriving the wave equation to solving the final Bohr atomic model, it only took an hour or two. I have to repeat it again, a fact that I have known for a long time, that That is, Chen, you are a genius!"

Chen Muwu is very scared now. The romantic Frenchman in front of him will be emotional for a while, and he can't help holding his head and slapping his cheek: "Louis, I need a typewriter now. I want to organize this formula into a paper." , send it to Nature Weekly.”

The "Yearbook of Physics" for July was published yesterday, and Chen Muwu didn't want to wait another month, so he could only choose "Nature".

He originally planned to write a three-in-one paper, but after the accident caused by de Broglie, he had to split it into two papers and publish them separately.

De Broglie was still very excited: "Yes, yes, yes, writing a paper, of course you have to write a paper! Such a simple and great research result must be announced to the world as soon as possible! If it is published one day late, then the world's Physicists, one more day of torture by your matrix.

"But for a typewriter, you probably have to wait a little longer. I'll send someone to buy one."

Chen Muwu was a little puzzled: "Doesn't your family, a big nobleman, not even have a typewriter?"

"Of course there is, but I'm afraid you won't be used to it. Because the keyboards of French typewriters are arranged in a different order than those of English, our first row is ZHJAY****G, not English QWERTY."

Now Chen Muwu suddenly misses Qin Shihuang very much, because at least he has achieved the same writing and the same track.

(End of this chapter)