Seeing the situation in front of him, Chen Muwu really wanted to curse.
Isn't it just for a few matrices, why not wake yourself up early in the morning?
Can you have the most basic respect for the new Olympic champion?
But after he completely woke up, Chen Muwu felt that something was not right with him.
It is much easier to achieve results in the Olympics than in physics.
Every time a new paper is published or a new experiment is performed in physics.
It is difficult for Chen Muwu to get immediate feedback, and even if he does, most of it is negative.
For example, when it was proposed that light was also a particle, Bohr immediately teamed up with two other people to propose the bks theory to resist.
For example, when he proposed that electrons are also waves, even his teacher Rutherford stood against him at the beginning.
In the past few days during the Olympic Games, every time the auditorium by the swimming pool was always filled with spectators who came to cheer him on.
As long as he achieves results, he will immediately get feedback from the audience.
Chen Muwu felt that it might be these applause and cheers that made him gradually lose himself.
However, the honors brought by sports come and go quickly.
Talent comes from generation to generation, and it won't be long before his record is broken by someone with better skills and faster swimming.
However, the theories published and contributions made in physics will "not waste the flow of the river forever".
So since Chen Muwu knows that his theories are correct, there will never be a tragedy where Boltzmann committed suicide due to being squeezed out by his peers.
Chen Muwu thought that he must get out of the Olympics as soon as possible and return to the embrace of physics.
So after sitting on the bed with dull eyes for a few minutes, he suddenly woke up from his self-reflection.
De Broglie was startled by Chen Muwu's surprise. Unexpectedly, the other party had already jumped up from the bed.
"Come on Louis, let's study this matrix!"
"Chen, I'm not... that 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 the table.
In front of them were blank sheets of paper and pens, as well as several mathematics books that de Broglie had borrowed from the library.
"Okay, Teacher Chen, I'm ready and can start teaching now."
"Louis, throw all your books aside, I'm going to give up on the Matrix."
Chen Muwu said it calmly, but Deborah was a little shocked and confused after hearing this: "Chen, what do you mean?"
"When I was swimming these past few days, looking at the sparkling water 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 electronic device I proposed. Wave.
“Since the electron is also a 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 come up with something real today, De Broglie will never let him go.
"Do you know what Boltzmann's entropy formula is?"
De Broglie was a little unconvinced: "Of course I know. I have a Ph.D. in physics from the University of Paris. How can you have the nerve to ask me such a pediatric question? Isn't it just S=klogW?"
"Yes, that's it." Of course Chen Muwu knew what this formula should look like. He deliberately asked the question just to make de Broglie feel involved.
"If we slightly deform this formula, we can get W=e^(S/k), right?
"So since we want to study quantum issues, there is no problem in replacing 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 to it, okay?"
As Chen Muwu spoke, he transformed the equation on the paper into W=e^(2πiS/h).
"Now, we have to find out what this S is. It must not be entropy anymore, because the unit of entropy is joules per kelvin, and the unit of Planck's constant is joules seconds. If these two things are divided, they will not be the same. It is not a dimensionless quantity, but the exponential function requires that the independent variable must be dimensionless.
"This means that the dimension of S should also be Joule seconds. Therefore, S should also be a certain amount of action."
"Is it possible that he has the angular momentum of something?"
De Broglie was engaging, even if he provided a wrong answer.
"I don't think so," Chen Muwu shook his head, "Do you know the Hamilton-Jacobian equation in classical mechanics?"
"Chen, your questions are getting easier and simpler. I feel like you are deliberately looking down on me just because you are a genius. Of course I know this equation!"
De Broglie grabbed the pen from Chen Muwu's hand and quickly wrote the formula S/t+H=0 on the paper.
"Isn't that what it is?"
He slammed the pen on the table angrily.
Chen Muwu picked it up again, pointed at the S in the formula with the tip of his pen and said: "Look at this S, does its dimension also happen to be an action quantity?"
"That's right."
"Then if we bring in the style just now, will it become like this?"
Chen Muwu continued to write ihW/t=HW/2π on the paper.
"Look, isn't this just the standard form of a wave equation?
"In order to express the difference between classical mechanics and quantum mechanics, we slightly replace the Latin letters with taller Greek letters, and it becomes ihΨ/t=HΨ/2π.
"Of course, H represents the Hamiltonian in classical mechanics, but in the microscopic world, we can also follow suit and put a hat on it to turn it into a Hamiltonian operator."
Chen Muwu changed the subject: "Louis, since you have read a lot of mathematics books during these days of my competition, even if you have not learned anything else, you can now accept things like operators, right? So this derivation process , do you think there’s 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 got 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: "Louis, you don't have to worry about this matter for now. We might as well look at something else first, like this, this, and that... , and finally we get, E(n, l, m) ∝-1/n^2.
"Look, does this lead to Bohr's atomic model? And this energy distribution can be found naturally, relying on the three quantum numbers n, l, m, and there is no need to make preconceived assumptions like Bohr's The existence of angular momentum quantum numbers can be derived directly and naturally."
De Broglie was obviously frightened by Chen Muwu's fierce operation.
After a long time, he said: "Chen, I am convinced, I am convinced. Your deduction is really amazing. Even if you give me a hundred brains, I may not be able to get it from Boltzmann." The wave equation of electrons is derived 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 was just that on a whim, he reproduced the entire process of Schrödinger's "guessing" the wave equation.
Of course, there are some differences from the original version.
At that time, Schrödinger was with him in the chalet at the ski resort in Innsbruck. Apart from his wife Anne, he was one of his many confidantes.
After the two had a one-night romance, Schrödinger accidentally got his hands on one and created a great story.
But now there is no beauty around Chen Muwu. Accompanying him is de Broglie, who is gradually showing signs of baldness.
Chen Muwu felt like he had lost money this time.
"But, Chen," while 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 Conference. ? Why have only three of them been solved in your wave equation?"
Well……
You can't tell him this question directly.
Because this is also worth writing another paper.
"We will naturally find a solution to this problem 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 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’s right, Chen, you are such a genius!”
Chen Muwu was very scared now. The romantic Frenchman in front of him was suddenly in a mood. He couldn't help but hold his head and take a sip on his cheek: "Louis, I need a typewriter now. I want to compile this formula into a paper." , send it to Nature."
The July "Yearbook of Physics" was published yesterday, and Chen Muwu didn't want to wait another month, so he had no choice but to choose "Nature".
He originally planned to write a three-in-one paper, but after the incident caused by de Broglie, he had to split it into two papers and publish them separately.
De Broglie was still very excited: "Yes, yes, write 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 later, then the whole world will Physicists, I will be tortured by your matrix for one more day.
"But as for the typewriter, you probably have to wait a little longer. I'll ask someone to buy one right now."
Chen Muwu was a little confused: "You don't even have a typewriter in the home of a noble like you?"
"Of course there is, but I'm afraid you won't be used to it. Because the French typewriter keyboard is arranged in a different order than the English one, our first row is ZHJAY****G, not the English QWERTY."
Chen Muwu suddenly missed Qin Shihuang very much now, because at least he could write the same text and drive the same track.
(End of chapter)
