85 guess an equation

Seeing the situation in front of him, Chen Muwu really wanted to scold a dirty word.

Isn't it just for a few matrices, as for waking yourself up early in the morning?

Do you have the least respect for the new Olympic champions?

However, after he was completely sober, Chen Muwu felt that his state was not quite right.

It's much easier to achieve results in the Olympics than in physics.

Each time he published a new paper or a new experiment in physics.

It is difficult for Chen Muwu to get immediate feedback, and even if there is, most of it is negative.

For example, when he proposed that light is also a particle, Bohr immediately proposed the BKS theory with two other people to resist it.

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

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

As soon as he achieves results, he will get immediate feedback from the audience.

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

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

It won't be long before his record will be broken by someone with better skills and faster swimming.

However, the theories published and the contributions made in physics are "not wasted for eternity".

Therefore, since Chen Muwu knows that his theories are correct, then there will never be a tragedy in him where Boltzmann was ostracized by his peers to suicide.

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

So after sitting on the bed with a blank gaze for a few minutes, he suddenly woke up from self-reflection.

De Broglie was startled by Chen Muwu's startle, but the other party had already jumped up from the bed.

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

"Chen, it's not ...... In such a hurry, we can have breakfast first! ”

……

After a traditional French aristocratic breakfast, Chen Muwu and de Broglie sat side by side at the same table.

In front of them were blank sheets of paper and pens, as well as several math books that de Broglie had borrowed from the library.

"Okay, Teacher Chen, I'm ready, now I can start lecturing."

"Louie, throw these books of yours aside, I'm going to give up the matrix."

Chen Muwu said lightly, but Debro was a little shocked and a little puzzled after hearing it: "Chen, what do you mean by this?" ”

"In the past few days when I was swimming, looking at the sparkling water in the water, I suddenly had a new inspiration," Chen Muwu began to talk serious nonsense, "I saw the water waves, and I thought of the electronic wave I proposed."

Since the electron is also a wave, shouldn't he also have a wave equation to describe the specific motion?

"Today, we're going to discuss what this wave equation should look like."

There's no way, it looks like if he doesn't come up with something real today, and 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 doctor of physics from the University of Paris, why are you embarrassed to ask me such a small question about pediatrics?" Isn't that S=klogW? ”

"That's right, this is it." Of course, Chen Muwu knew what this formula should look like, and he deliberately asked questions, just to make De Broglie feel a little involved.

"If we deform this equation a little, we can get W=e^(S/k), right?

"So since we're going to study the quantum aspect, there's nothing wrong with replacing the macroscopic Boltzmann constant k with the microscopic reduced Planck constant h/2π, right?

"And we're looking for a wave equation, so it makes sense to add an imaginary unit i to it, no problem, right?"

Chen Muwu said as he transformed the equation on the paper into W=e^(2πiS/h).

"Now, then, to find out what this S is, he must no longer be entropy, because the unit of entropy is Joules per Kelvin, and the unit of Planck's constant is Joule seconds, and when these two things are divided, they are not a dimensionless quantity, and the exponential function requires that the originating variable must be dimensionless.

That is to say, the dimension of S should also be joule seconds. Therefore, S should also be a certain effect. ”

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

De Broglie was engaged, even though he offered the wrong answer.

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

"Chen, your question is getting simpler and simpler, I feel that you are relying on yourself to be a genius, so you deliberately look down on me. Of course I know the equation! ”

De Broglie snatched the pen from Chen Muwu's hand and quickly wrote down the formula S/t+H=0 on the paper.

"Isn't that it?"

Somewhat angrily, he slammed his pen on the table.

Chen Muwu picked it up again, pointed at the S in this formula with the tip of his pen and said, "Look at this S, its dimension, is it just a force?" ”

"That's right."

"So if we bring in the form just now, will it become like this?"

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

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

"To illustrate the difference between classical mechanics and quantum mechanics, we can change the Latin alphabet slightly to the taller Greek alphabet, which becomes ihΨ/t=HΨ/2π.

"Of course, H in classical mechanics means Hamiltonian, but in the microcosm, we can also do the same, put a hat on him, and become a Hamiltonian operator."

Chen Muwu's words changed: "Louie, since you have read a lot of math books in the past few days of my competition, even if you haven't learned anything else, you can always accept such a thing as an arithmetic now, right?" So what do you think you didn't understand about this derivation process? ”

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

Of course there is a connection, but I can't say it right now.

Because it's worth at least one paper!

So Chen Muwu used another thing to fool De Broglie temporarily: "Louis, you don't have to worry about this matter for now, we might as well look at something else first, like this, and then that,......, and finally get it, E(n,l,m)∝-1/n^2."

"Look, is this just Bohr's atomic model? And it is natural to find this energy distribution, relying on the three quantum numbers n, l, m, and without preconceived assumptions about the existence of angular momentum quantum numbers, as Bohr did, it can be directly and naturally obtained. ”

De Broglie was obviously frightened by Chen Muwu's fierce operation.

After a long time, he spoke: "Chen, I am convinced, I am convinced, your deduction is really amazing, even if I am given a hundred brains, I may not be able to deduce the wave equation of electrons from the Boltzmann entropy formula, I really don't know that the two can be linked 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 copied the whole process of Schrödinger's "guessing" of the wave equation.

Of course, there are some differences from the original.

At that time, in the ski lodge in Innsbruck, Schrödinger was by his side, but in addition to his wife Anne, he was one of his many confidants.

After a night of romance between the two, Schrödinger got a clever hand and created a good story.

And now Chen Muwu has no beauty by his side, and he is accompanied by De Broglie, who has gradually shown some signs of baldness.

Chen Muwu felt that he seemed to be losing this wave.

"But, Chen," De Broglie interrupted Chen's thoughts again while he was still reminiscing about the past, "but I remember that at the Solvay meeting, didn't you propose the fourth quantum number?" Why did you only solve three of them in this wave equation? ”

Belch......

This question cannot be told to him directly.

Because it's also worth writing another paper.

"This problem will naturally find a solution to him in the future. However, if you go back and look at the matrix mechanics from before, and now that it has been replaced by the wave equation, isn't it much simpler? ”

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

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

Chen Muwu is very scared now, the romantic Frenchman in front of him is emotional, and he can't help but hold his head and pat on his cheek: "Louie, I need a typewriter now, I want to compile this formula into a paper and send it to the weekly "Nature". ”

The July issue of the Annals 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 had originally intended to write a three-in-one paper, but after the events caused by de Broglie, he had to split it into two and publish it separately.

De Broglie was still excited: "Yes, yes, yes, write a thesis, of course!" Such a simple and great result must be released to the world as soon as possible! One day late, then the physicists of the world will be tortured by your matrix for one more day.

"But if it's a typewriter, you guess you'll have to wait a little longer, and I'll ask someone to buy one."

Chen Muwu was a little puzzled: "In a family like a big nobleman like yours, don't you even have a typewriter?" ”

"Of course you have, but I'm afraid you won't get used to it. Because the keyboards of French typewriters are not distributed in the same order as English, we have a first row of ZHJAY****G, not QWERTY in English. ”

Chen Muwu suddenly misses Qin Shi Huang very much now, because he at least achieved the same book and the same track.

(End of chapter)