182 New forms of quantum mechanics

Everyone has their own quirks.

But for those peerless geniuses, because their fame is significant, their quirks are infinitely magnified by people.

Dirac also had a few quirks, most notably his penchant for solitary walks, which he spent hours walking between the city and the countryside of Cambridgeshire.

Recently, he has developed a new skill for himself, which is tree climbing.

Dirac was always polite, dressed in the most traditional British suit and leather shoes, and then quickly climbed to a tree on a hill outside Cambridge, hiding himself in the dense foliage, and contemplating academic questions.

According to the course of the original history, Dirac's real awakening of the hobby of drag racing will not be until a few years later.

He became a Fellow of St Peter's College, Cambridge University, and a Fellow of the Royal Society.

At that time, his annual income was much more than the shabby scholarship he received as a poor student in Cambridge now.

At that time, the price of cars was cheaper than now, so by mistake, Dirac bought his first car and gradually experienced the joy of driving.

But today, Kapitsa, who originally wanted to use the excuse of the drive, to sell second-hand cars to Chen Muwu, took two people to speed up in Cambridgeshire, which completely changed the course of Dirac's life and made him realize Fast and Furious in advance.

Kapitsa's original intention was to sell the car for money, and it didn't matter who he sold the car to.

Whether it is Chen Muwu buying or Dirac buying, as long as someone pays for it.

But asking him to set the price a little lower, Kapitsa couldn't accept it.

"Paul, eight hundred pounds is cheap enough, and if it is cheaper, then wouldn't I be too much of a loss?"

"However, I can't come up with that much money now, and I can't make up enough money until I graduate this summer and enter St. Peter's College as a researcher and earn a salary."

"This ......"

Far water can't quench the thirst of the near, and Kapitsa is still in a hurry to use the money.

If Dirac joins this fall, it means that he will have to eat the exhaust of other people countless times in the past few months of Cambridge University racing.

The competitive Kapitsa definitely can't stand this kind of grievance.

He suddenly focused his attention on Chen Muwu, who was sitting in the co-pilot, pointed at him and said to Dirac:

“…… He is very rich, and he usually doesn't spend it. Chen, how about you lend Paul a sum of money? ”

Kapitsa recognized Chen Muwu's big fat sheep, and he had to bite a big mouthful of fat meat from his body.

Hearing Kapitsa say this, Dirac also set his eyes on Chen Muwu.

"Chen, can you lend me some money? I'll definitely give it back to you this fall! ”

"It's okay to borrow money," Chen Muwu agreed to him without thinking about it, "but I don't really recommend that you buy this car." Now that you're preparing to defend your Ph.D. and you're busy writing lecture notes on quantum mechanics, where do you have time to learn how to drive a car? ”

Chen Muwu kindly reminded Dirac not to consume because of impulse.

Kapitsa, who was sitting next to him, was about to spark in his eyes.

"Well, I thought we were all good friends, and it was only a few hundred pounds, and Paul didn't pay it back.

"Pity me, I've always thought of you as Antonio, but I didn't expect you to be the scheming Sherlock, the miser Pryuskin!"

Antonio, the main character in Shakespeare's comedy The Merchant of Venice, borrows a large sum of money from the Jewish miser Shylock, the villain of the show, in order to fulfill the marriage of his best friend Bassanio.

And Pryushkin, a compatriot of Kapitsa, is a character written by the Russian writer Gogol, who, like Shylock, is also a well-known miser, a miser.

Chen Muwu felt that he was scolded inexplicably.

He was just persuading Dirac not to spend impulsively, and he didn't say that he wouldn't borrow.

Eight hundred pounds, sprinkle water.

But why did Kapitsa scold himself so hard?

"I didn't say I wouldn't borrow, I borrowed, can't I borrow?"

He was afraid that if he had spoken a little later, Kapitsa would have dared to put the hat of Grande and Abagorn on him again.

"That's pretty much it."

Kapitsa muttered a rare whisper in Russian, which no one understood, and then quickly switched back to English.

"Paul, I'll just say that Chan will definitely lend you money. When do you have time, let's go through the transfer procedures? ”

But Dirac was very persuasive, and when he heard Chen Muwu say this, he also felt that he seemed to have such an unrealistic idea just now because of the soaring speed, which caused his qi and blood to surge.

Now his time is very busy, and when it comes to cars, he really doesn't have time to learn when he buys them, and he doesn't have time to drive them after he learns.

It would be better to wait until autumn, and perhaps there will be no more thoughts of buying a car, which will save eight hundred pounds.

If you still want to buy it in the fall, it's never too late to buy it.

"Peter, let me think about buying a car."

Yes, Kapitsa was busy for a long time, and in the end, the bamboo basket was empty.

In a fit of rage, he even wanted to throw Chen Muwu, who had ruined his good deeds, out of the car and let him walk back to the Cavendish laboratory by himself.

But thinking of being a man and leaving a line, we can see each other in the future, maybe I may ask him to borrow money in the future, Kapitsa still dispelled this idea.

Since Chen Muwu and Dirac didn't want this car, they could only continue to look for the next target customer.

Although the teacher Rutherford is in his fifties, he still looks like a young man and is very open to new things.

Why don't you find a chance to invite the old crocodile out for a ride one day?

Capitsa quickly finalized a new victim in his mind.

He drove the two of them back to the Cavendish lab the way he came.

Although the speed of the car on the return trip was much lower than when it came. But Chen Muwu still held on to the door handle throughout the whole process, always vigilant, and was ready to jump out of the car throughout the whole process.

After returning to the lab, Dirac began to write the paper that Chen Muwu had contacted him to write.

The process of concretely proving the equivalence of matrix mechanics and wave dynamics has long been written in Dirac's book.

It is said to be writing a paper, but in fact, it is just a matter of adding some text explanations to these formulas, and then transcribing them on paper.

Everyone at Cambridge University writes essays.

But in the entire Cavendish laboratory, only Chen Muwu would crack on the typewriter while writing science papers.

But Chen Muwu didn't think about what his next paper would be about.

He always felt that Kapitsa was not in the right state.

Why is he in such a hurry to sell the car? Is it because of falling in love with Anna that the money is not enough?

Wouldn't it be better to just open your mouth and borrow it yourself? If he can lend it to Dirac, of course he can lend it to Kapitsa.

When you get a chance, be sure to ask him what is going on.

Because he was doing the copying work, his brain basically didn't have to think, so Dirac was hunched down in front of Chen Muwu's desk and scribbled hard, while chatting with himself standing by the window and looking out at the scenery.

"Chen, you said that there are various forms in classical mechanics.

"For example, the most classical Newtonian mechanics, Lagrangian mechanics learned in analytical mechanics classes, Hamiltonian mechanics, the principle of minimum action, etc., and what Poisson brackets, Hamiltonian-Jacobian equations.

"You can list so many forms of classical mechanics at any time, and they are all equivalent to each other.

"Then why do you only have two forms of quantum mechanics: matrix mechanics and wave dynamics?

"You say, if you start with classical mechanics and deduce other forms of quantum mechanics in addition to the above two forms?"

Yes, of course.

There are Hamiltonian-Jacobian equations in classical mechanics, as well as quantum mechanics.

But it's not necessary.

Some people say that there are at least nine forms of quantum mechanics, and only one of the most used in later generations is wave dynamics.

From the senior year of undergraduate studies, and even to the graduate courses, the vast majority of quantum mechanics is mainly based on wave dynamics.

Even matrix mechanics are less common, let alone what other forms are?

And how to push them out, that should also be a matter for you mathematicians.

But Dirac's words provided Chen Muwu with a good idea for his thesis.

Wave dynamics is definitely the boss of the future forms of quantum mechanics.

But if you ask who is the second child, whether matrix mechanics can sit firmly in this position, it is really not certain.

Quantum mechanics, in the future, will develop a branch called quantum field theory.

The most common form of quantum mechanics in quantum field theory is a new one, called path integral.

Path integrals appeared much later than wave dynamics and matrix mechanics.

In the twenties, Heisenberg and Schrödinger proposed these two forms, respectively.

It was more than twenty years before Feynman came up with path integrals.

Generally speaking, along with the path points, there is also the famous Feynman diagram named after Feynman.

On the whiteboard in Shelton's house in "The Big Bang Theory", this kind of Feynman figure often appears.

Chen Muwu decided that in his new paper, he would write about this path integral.

Although in non-relativistic quantum mechanics, solving problems with path integration is often cumbersome.

But what does it matter to me?

Everyone knows that wave dynamics is easy to use, so just continue to use it.

I just proposed a new form of quantum mechanics, and as for whether it is useful or not, we will see later.

Thinking of this, Chen Muwu took out his beloved typewriter from the cabinet again, moved a chair, and sat down opposite Dirac, completely forgetting to answer the question that the latter had just asked him.

"Space-time approach ro non-relativistic quantum mechanics."

In the top center of the typing paper, Chen Muwu typed down such a line of words.

……

After returning to Trinity College in the evening, Chen Muwu pushed the door and entered Kapitsa's room.

Seeing who was in the room, Kapitsa jumped straight from his seat.

"How about it, Chen, have you changed your mind and want to buy a car?"

Chen Muwu shook his head, although he wanted to continue the topic and ask him what the reason for selling the car was, but in the end he chose to retreat.

"I'm going to Paris in the summer, will you come with me this time?"

"To Paris? Didn't we just come back from France? The relationship between the two of you is really sweet! ”

"Eve's sister Irena is getting married, and I'm definitely going. That's why I came over to ask you, thinking that if you go to see Anna too, the two of us can just go together. ”

"I'm not going, there may be some work to be done this summer, on the Cavendish Laboratory."

Kapitsa's words flickered.

If it is as usual, he will definitely not refuse his invitation when he is in love.

And every summer, Kapitsa runs faster than anyone else, and he will always take the train back to China to visit relatives during the summer vacation.

And this train must not be able to avoid France, let alone Paris.

This further confirms Chen Muwu's view that the Russians have not been quite right recently.

"What the hell is going on with you? Do you want to sell your car again, and you don't want to go home? Short of money? ”

Kapitsa nodded sheepishly.

"But I don't think you have any big expenses lately, why are you suddenly short of money?"

Kapitsa had been thinking about how to borrow money from Chen Muwu in the future.

Unexpectedly, this person sent it to the door himself.

The opportunity must not be lost again, he made no secret of it, and told Chen Muwu that he wanted to change to a new car to participate in racing.

Loss thief.

So everything he said before was a lie to himself, saying that the appearance and color scheme of Lagonda were not suitable for a stable self.

As a result, the Russian in his thirties, the way he pursued stability was to run to the race car.

"Peter, I advise you to refrain from engaging in such boring activities, it feels too unsafe."

Chen Muwu remembered that he was terrified when he went to Cheng Cheng today, Kapitsa's broken car didn't even have a seat belt, and he could only hold on to the handle on the door tightly.

That's right, seat belts.

Maybe it's because the current speed is not fast enough, or maybe it's because people's safety awareness is not high enough, anyway, it's not just Capitsa's cars, but all cars, there are no seat belts installed as a life-saving accessory.

In the same way, there are airbags, which have not yet been invented.

Chen Muwu felt that it was completely possible to move Volvo's set to the present.

When other car brands are all about speed and performance, but you focus on safety, isn't that the selling point?

After all, nothing is more important than human life.

When you have time, you must find a car manufacturer to fool around, and see if you can exchange another amount of money for the two inventions of seat belts and airbags.

That school in Sweden is just the beginning, and there will only be more and more places to spend money in the future.

He has to take precautions from now on, money is such a thing, it must be Han Xin's troops, the more the merrier.

For example, Austin cars are not bad, after all, Lord Austin will have a relationship with Cavendish Labs in the future.

"Peter, if you have to buy a new car, I can lend you the money.

"But if you're willing to wait a little longer, when I'm done with the business at hand, maybe I can find a way and ask the manufacturer to send you a new car."

Kapitsa had just offered himself a great idea to make money, and he couldn't afford to treat him badly, could he?

"Really? Can I choose a car? Rolls-Royce's new model called the Phantom launched last year, and I love it! ”

There is an old comedy film called "The Adventures of the Italians in Russia", in which there is an animal protagonist, a lion.

Chen Muwu felt that the way Kapitsa opened his mouth now was very similar to the lion.

Rolls-Royce Phantom, how dare he say it!

(End of chapter)