Reborn and become a Great Scientist
Chapter 234 182 New Forms of Quantum Mechanics
Chapter 234 182 New Forms of Quantum Mechanics
Everyone has their own quirks.
But for those peerless geniuses, because of their remarkable fame, their eccentricities are infinitely magnified by people.
Dirac also had a few eccentricities, most notably his fondness for solitary walks, often for hours, in and out of Cambridgeshire.
Recently, he has developed a new skill for himself, which is climbing trees.
Dirac was always polite, wearing the most traditional British suit and leather shoes, and then quickly climbed to a certain tree on a hill outside Cambridge, hiding himself among the dense leaves, thinking about academic issues quietly.
According to the original historical process, it will take several years for Dirac to truly awaken his hobby of drag racing.
At that time, he became famous and became an academician at 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 got as a poor student at Cambridge now.
At that time, the price of cars was also cheaper than it is now, so Dirac bought his first car by accident, and gradually realized the joy of driving.
But today, Kapitsa, who intended to sell second-hand cars to Chen Muwu, took the opportunity of going for a ride, and took the two of them on a sprint in Cambridgeshire. with passion.
Kapitsa's intention was to sell the car for money, and it didn't matter who he sold the car to.
Whether Chen Muwu buys it or Dirac buys it, as long as someone pays for it.
But asking him to set the price a little lower, Kapiza couldn't accept it.
"Paul, eight hundred pounds for this car is already cheap enough. If it's any cheaper, wouldn't it be a big loss for me?"
"But, I can't come up with that much money now. I have to wait until I graduate this summer and enter St. Peter's College as a researcher. I can barely make up for it with my salary."
"This one……"
Far from being able to quench his near thirst, Kapitsa is still in a hurry to spend money.
If Dirac waits until this fall to join the job, it means that he will have to eat countless times of other people's exhaust during the Cambridge University racing in the past few months.
The competitive Kapitsa absolutely cannot stand this kind of grievance.
He suddenly focused on Chen Muwu who was sitting in the co-pilot, pointed at him and said to Dirac:
"...He is very rich, but he doesn't usually spend it. Chen, how about you lend Paul some money?"
Kapiza had spotted Chen Muwu, a big fat sheep, and insisted on biting off a big mouthful of fat from him.
Hearing what Kapitsa said, Dirac also turned his attention to Chen Muwu.
"Chen, can you lend me some money? I will definitely pay you back by this fall!"
"It's okay to borrow money," Chen Muwu agreed without thinking, "but I don't recommend you to buy this car. Now you have to prepare for your Ph.D. defense and are busy writing lecture notes on quantum mechanics. Where is the time to learn how to drive a car recently?"
Chen Muwu kindly reminded Dirac not to spend on impulse.
Kapitsa, who was sitting next to him, almost had sparks in his eyes.
"Well, I thought we were all good friends, and it was only a few hundred pounds, and it's not like Paul didn't pay it back.
"Poor me, I've always thought of you as Antonio, but I didn't expect you to be the calculating Sherlock, the miser, Pryushkin!"
Antonio is the positive character in Shakespeare's comedy "The Merchant of Venice". In order to complete the marriage of his good friend Bassanio, he borrowed a large sum of money from the Jewish miser Shylock, who is also the villain in the play.
And Pliushkin is a compatriot of Kapitsa, a character written by the Russian writer Gogol. Like Shylock, he is also a well-known miser and miser.
Chen Muwu felt that he had been scolded for no reason.
He was just trying to persuade Dirac not to spend impulsively, but he didn't say he wouldn't borrow it.
Eight hundred pounds, sprinkle water.
But why did Kapitsa scold herself so hard?
"I didn't say no to borrowing, I will borrow it, can I still borrow it?"
He was afraid that if he spoke a little later, Kapitsa would dare to put the hats of Grandet and Harpagon on him again.
"It's almost there."
Kapitsa rarely muttered something in Russian that no one could understand, and then quickly switched back to English mode.
"Paul, I just said that Chen will definitely lend you money. When do you have time, let's go through the transfer procedures?"
But Dirac was very persuasive. Hearing what Chen Muwu said, he also felt that he had such an unrealistic idea just now because of his turbulent speed, which caused his blood to surge.
Now he is very busy with his time. Regarding the car, he really has no time to learn it after buying it, and he has no time to drive it after learning it.
It would be better to wait until the autumn, when perhaps the idea of buying a car will be eliminated, and it will save eight hundred pounds.
If you still want to buy it in autumn, it's not too late to buy it again.
"Peter, let me think about buying a car again."
Well, Kapitsa was busy for a long time, but in the end it was nothing to fetch water from the bamboo basket.
In a fit of anger, he even wanted to throw Chen Muwu, who had ruined his good deed, out of the car, and let him walk back to the Cavendish laboratory by himself.
However, Kapitsa dismissed the thought of staying on the front line and seeing each other in the future, and maybe asking him to borrow money in the future.
Since neither Chen Muwu nor Dirac wanted this car, they could only continue to look for the next target customer.
Although the teacher Rutherford is over 50 years old, he still looks like a young man, and he is very willing to accept new things.
Otherwise, find a chance and ask the old crocodile to go out for a drive someday?
Kapitsa quickly settled on a new victim in his mind.
He drove the two of them back to Cavendish Laboratory along the same road.
Although the speed of the return journey has dropped a lot compared to the time of arrival.But Chen Muwu still held the door handle the whole time, kept vigilant all the time, and was ready to jump off the car.
After returning to the laboratory, Dirac began to write the paper that Chen Muwu contacted him to write.
The process of proving the equivalence of matrix mechanics and wave mechanics has already been written by Dirac in his notebook.
It is said that writing a thesis is actually just adding some text explanations to these formulas, and then transcribing them on paper.
Every student at the University of Cambridge writes a thesis.
But in the entire Cavendish Laboratory, only Chen Muwu would clatter on the typewriter when writing science papers.
But Chen Muwu was not thinking about what to write in his next thesis.
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 if you just open your mouth and borrow it from yourself?Since he can lend it to Dirac, of course he can also lend you Kapitsa.
When you get a chance, you must ask him what is going on.
Because he was doing copying work, his brain basically didn't need to think, so Dirac leaned over Chen Muwu's desk and wrote quickly, while chatting with himself who was standing by the window looking out at the scenery.
"Chen, you said that in classical mechanics, there are various forms.
"For example, the most classic Newtonian mechanics, Lagrangian mechanics learned in analytical mechanics class, Hamiltonian mechanics, principle of least action, etc., and what Poisson brackets, Hamilton-Jacobi equation.
"There are, by the way, so many forms of classical mechanics that can be listed, and they are all equivalent to each other.
"Then why do you have only two forms of matrix mechanics and wave mechanics in your quantum mechanics?
"You said, if you start from classical mechanics, you can derive other forms of quantum mechanics besides the above two forms?"
Yes, of course I can.
There are Hamilton-Jacobi equations in classical mechanics, and there are also quantum mechanics.
But not necessary.
Some people say that there are at least nine forms of quantum mechanics, and that only one is used the most in later generations, and that is wave mechanics.
From the senior year of undergraduate, even to the quantum mechanics in graduate courses, most of them are based on wave mechanics.
Even matrix mechanics is not very common, let alone those other forms?
And how to push them out should also be a matter for you mathematicians.
But what Dirac said gave Chen Muwu a good idea for his thesis.
Wave mechanics is definitely the boss among the future forms of quantum mechanics.
But if you ask who is the second child, whether Matrix Mechanics can secure this position is really not certain.
In the future, quantum mechanics 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 integrals.
Compared with wave mechanics and matrix mechanics, path integrals appeared much later.
In the 20s, Heisenberg and Schrödinger proposed these two forms respectively.
After more than 20 years, Feynman proposed the path integral.
Generally speaking, the path integral is accompanied by the famous Feynman diagram named after Feynman.
This kind of Feynman diagram often appears on the whiteboard in Sheldon's house in "The Big Bang Theory".
Chen Muwu decided to write this path integral in his new paper.
Although in non-relativistic quantum mechanics, it is often troublesome to use path integrals to solve problems.
But what does it matter to me?
Everyone knows that wave mechanics is easy to use, so just keep using it.
I just proposed a new form of quantum mechanics. As for whether it is useful or not, I will see in the future.
Thinking of this, Chen Muwu took out his beloved typewriter from the cabinet again, moved a chair, and sat across from Dirac, completely forgetting to answer the question that the latter just asked him.
"Space-time approach ro non-relativistic quantum mechanics."
In the center of the top of the typing paper, Chen Muwu typed this line of words.
……
After returning to Trinity College at night, Chen Muwu opened the door and entered Kapitsa's room.
Seeing who was entering the room, Kapitsa jumped up 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 really wanted to continue this topic and asked him why he sold the car, he finally chose to retreat.
"I'm going to Paris in the summer, will you go 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 will definitely go. That's why I came here to ask you, thinking that if you also go to see Anna, the two of us can just go together."
"I won't go. This summer, there may be some work to be done at the Cavendish Laboratory."
Kapitsa's words flickered.
As usual, he would definitely not refuse his invitation when he was in love.
And every summer, Kapica runs faster than anyone else, and he will always take the train back to China to visit his relatives during the summer vacation.
And this train must not go around France, let alone Paris.
This further confirmed Chen Muwu's view that something is not quite right with the Russians recently.
"What's the matter with you? You want to sell the car again, and you won't go home? Are you short of money?"
Kapitsa nodded sheepishly.
"But I don't think you have any big expenses recently, so why are you suddenly short of money?"
Kapiza had been thinking about how to ask Chen Muwu to borrow money in the future.
Unexpectedly, this person came to the door by himself.
The opportunity never came again, he made no secret of it, and told Chen Muwu that he wanted to change to a new car to participate in racing.
A thief.
So everything he said before was lying to himself, saying that the shape and color matching of Lagonda were not suitable for his prudent self.
As a result, the 30-year-old Russian, his way of seeking stability is to run racing.
"Peter, I advise you to stop participating in such boring activities, it feels too unsafe."
Chen Muwu recalled the fright he felt when he left for the journey today. Kapica's broken car didn't even have a seat belt, so he could only hold on to the door handle tightly.
Yes, seat belts.
It may be because the current speed is not fast enough, or it may be because people's safety awareness is not high enough. Anyway, not only Kapitsa's cars, but all cars are not equipped with safety belts as a life-saving accessory.
In the same way, there are airbags, which have not yet been invented.
Chen Muwu felt that it was entirely possible to apply Volvo's methods to the present.
When other car brands are pursuing speed and performance, but you focus on safety, isn't this a selling point?
After all, there is nothing more important than human life.
When I have time, I must find a car manufacturer to fool around and see if I can get another sum of money with the two inventions of seat belts and air bags.
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 plan ahead from now on. For things like money, Han Xin must order troops. The more the better.
For example, Austin Motors is good. After all, Lord Austin will have a relationship with Cavendish Laboratory in the future.
"Peter, if you must buy a new car, I can lend you the money.
"But if you're willing to wait a little longer, after I finish what I'm doing, maybe I can find a way to get you a new car from the manufacturer."
Kapitsa just offered himself a great money-making idea, so I can't treat him badly, can I?
"Really? Then can I choose a car? I like the new Rolls-Royce model called Phantom last year!"
There's an old comedy movie called "The Adventures of an Italian in Russia," which has an animal protagonist, a lion.
Chen Muwu felt that the way Kapiza opened his mouth was very similar to that lion.
Rolls-Royce Phantom, how dare he say it!
(End of this chapter)
Everyone has their own quirks.
But for those peerless geniuses, because of their remarkable fame, their eccentricities are infinitely magnified by people.
Dirac also had a few eccentricities, most notably his fondness for solitary walks, often for hours, in and out of Cambridgeshire.
Recently, he has developed a new skill for himself, which is climbing trees.
Dirac was always polite, wearing the most traditional British suit and leather shoes, and then quickly climbed to a certain tree on a hill outside Cambridge, hiding himself among the dense leaves, thinking about academic issues quietly.
According to the original historical process, it will take several years for Dirac to truly awaken his hobby of drag racing.
At that time, he became famous and became an academician at 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 got as a poor student at Cambridge now.
At that time, the price of cars was also cheaper than it is now, so Dirac bought his first car by accident, and gradually realized the joy of driving.
But today, Kapitsa, who intended to sell second-hand cars to Chen Muwu, took the opportunity of going for a ride, and took the two of them on a sprint in Cambridgeshire. with passion.
Kapitsa's intention was to sell the car for money, and it didn't matter who he sold the car to.
Whether Chen Muwu buys it or Dirac buys it, as long as someone pays for it.
But asking him to set the price a little lower, Kapiza couldn't accept it.
"Paul, eight hundred pounds for this car is already cheap enough. If it's any cheaper, wouldn't it be a big loss for me?"
"But, I can't come up with that much money now. I have to wait until I graduate this summer and enter St. Peter's College as a researcher. I can barely make up for it with my salary."
"This one……"
Far from being able to quench his near thirst, Kapitsa is still in a hurry to spend money.
If Dirac waits until this fall to join the job, it means that he will have to eat countless times of other people's exhaust during the Cambridge University racing in the past few months.
The competitive Kapitsa absolutely cannot stand this kind of grievance.
He suddenly focused on Chen Muwu who was sitting in the co-pilot, pointed at him and said to Dirac:
"...He is very rich, but he doesn't usually spend it. Chen, how about you lend Paul some money?"
Kapiza had spotted Chen Muwu, a big fat sheep, and insisted on biting off a big mouthful of fat from him.
Hearing what Kapitsa said, Dirac also turned his attention to Chen Muwu.
"Chen, can you lend me some money? I will definitely pay you back by this fall!"
"It's okay to borrow money," Chen Muwu agreed without thinking, "but I don't recommend you to buy this car. Now you have to prepare for your Ph.D. defense and are busy writing lecture notes on quantum mechanics. Where is the time to learn how to drive a car recently?"
Chen Muwu kindly reminded Dirac not to spend on impulse.
Kapitsa, who was sitting next to him, almost had sparks in his eyes.
"Well, I thought we were all good friends, and it was only a few hundred pounds, and it's not like Paul didn't pay it back.
"Poor me, I've always thought of you as Antonio, but I didn't expect you to be the calculating Sherlock, the miser, Pryushkin!"
Antonio is the positive character in Shakespeare's comedy "The Merchant of Venice". In order to complete the marriage of his good friend Bassanio, he borrowed a large sum of money from the Jewish miser Shylock, who is also the villain in the play.
And Pliushkin is a compatriot of Kapitsa, a character written by the Russian writer Gogol. Like Shylock, he is also a well-known miser and miser.
Chen Muwu felt that he had been scolded for no reason.
He was just trying to persuade Dirac not to spend impulsively, but he didn't say he wouldn't borrow it.
Eight hundred pounds, sprinkle water.
But why did Kapitsa scold herself so hard?
"I didn't say no to borrowing, I will borrow it, can I still borrow it?"
He was afraid that if he spoke a little later, Kapitsa would dare to put the hats of Grandet and Harpagon on him again.
"It's almost there."
Kapitsa rarely muttered something in Russian that no one could understand, and then quickly switched back to English mode.
"Paul, I just said that Chen will definitely lend you money. When do you have time, let's go through the transfer procedures?"
But Dirac was very persuasive. Hearing what Chen Muwu said, he also felt that he had such an unrealistic idea just now because of his turbulent speed, which caused his blood to surge.
Now he is very busy with his time. Regarding the car, he really has no time to learn it after buying it, and he has no time to drive it after learning it.
It would be better to wait until the autumn, when perhaps the idea of buying a car will be eliminated, and it will save eight hundred pounds.
If you still want to buy it in autumn, it's not too late to buy it again.
"Peter, let me think about buying a car again."
Well, Kapitsa was busy for a long time, but in the end it was nothing to fetch water from the bamboo basket.
In a fit of anger, he even wanted to throw Chen Muwu, who had ruined his good deed, out of the car, and let him walk back to the Cavendish laboratory by himself.
However, Kapitsa dismissed the thought of staying on the front line and seeing each other in the future, and maybe asking him to borrow money in the future.
Since neither Chen Muwu nor Dirac wanted this car, they could only continue to look for the next target customer.
Although the teacher Rutherford is over 50 years old, he still looks like a young man, and he is very willing to accept new things.
Otherwise, find a chance and ask the old crocodile to go out for a drive someday?
Kapitsa quickly settled on a new victim in his mind.
He drove the two of them back to Cavendish Laboratory along the same road.
Although the speed of the return journey has dropped a lot compared to the time of arrival.But Chen Muwu still held the door handle the whole time, kept vigilant all the time, and was ready to jump off the car.
After returning to the laboratory, Dirac began to write the paper that Chen Muwu contacted him to write.
The process of proving the equivalence of matrix mechanics and wave mechanics has already been written by Dirac in his notebook.
It is said that writing a thesis is actually just adding some text explanations to these formulas, and then transcribing them on paper.
Every student at the University of Cambridge writes a thesis.
But in the entire Cavendish Laboratory, only Chen Muwu would clatter on the typewriter when writing science papers.
But Chen Muwu was not thinking about what to write in his next thesis.
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 if you just open your mouth and borrow it from yourself?Since he can lend it to Dirac, of course he can also lend you Kapitsa.
When you get a chance, you must ask him what is going on.
Because he was doing copying work, his brain basically didn't need to think, so Dirac leaned over Chen Muwu's desk and wrote quickly, while chatting with himself who was standing by the window looking out at the scenery.
"Chen, you said that in classical mechanics, there are various forms.
"For example, the most classic Newtonian mechanics, Lagrangian mechanics learned in analytical mechanics class, Hamiltonian mechanics, principle of least action, etc., and what Poisson brackets, Hamilton-Jacobi equation.
"There are, by the way, so many forms of classical mechanics that can be listed, and they are all equivalent to each other.
"Then why do you have only two forms of matrix mechanics and wave mechanics in your quantum mechanics?
"You said, if you start from classical mechanics, you can derive other forms of quantum mechanics besides the above two forms?"
Yes, of course I can.
There are Hamilton-Jacobi equations in classical mechanics, and there are also quantum mechanics.
But not necessary.
Some people say that there are at least nine forms of quantum mechanics, and that only one is used the most in later generations, and that is wave mechanics.
From the senior year of undergraduate, even to the quantum mechanics in graduate courses, most of them are based on wave mechanics.
Even matrix mechanics is not very common, let alone those other forms?
And how to push them out should also be a matter for you mathematicians.
But what Dirac said gave Chen Muwu a good idea for his thesis.
Wave mechanics is definitely the boss among the future forms of quantum mechanics.
But if you ask who is the second child, whether Matrix Mechanics can secure this position is really not certain.
In the future, quantum mechanics 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 integrals.
Compared with wave mechanics and matrix mechanics, path integrals appeared much later.
In the 20s, Heisenberg and Schrödinger proposed these two forms respectively.
After more than 20 years, Feynman proposed the path integral.
Generally speaking, the path integral is accompanied by the famous Feynman diagram named after Feynman.
This kind of Feynman diagram often appears on the whiteboard in Sheldon's house in "The Big Bang Theory".
Chen Muwu decided to write this path integral in his new paper.
Although in non-relativistic quantum mechanics, it is often troublesome to use path integrals to solve problems.
But what does it matter to me?
Everyone knows that wave mechanics is easy to use, so just keep using it.
I just proposed a new form of quantum mechanics. As for whether it is useful or not, I will see in the future.
Thinking of this, Chen Muwu took out his beloved typewriter from the cabinet again, moved a chair, and sat across from Dirac, completely forgetting to answer the question that the latter just asked him.
"Space-time approach ro non-relativistic quantum mechanics."
In the center of the top of the typing paper, Chen Muwu typed this line of words.
……
After returning to Trinity College at night, Chen Muwu opened the door and entered Kapitsa's room.
Seeing who was entering the room, Kapitsa jumped up 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 really wanted to continue this topic and asked him why he sold the car, he finally chose to retreat.
"I'm going to Paris in the summer, will you go 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 will definitely go. That's why I came here to ask you, thinking that if you also go to see Anna, the two of us can just go together."
"I won't go. This summer, there may be some work to be done at the Cavendish Laboratory."
Kapitsa's words flickered.
As usual, he would definitely not refuse his invitation when he was in love.
And every summer, Kapica runs faster than anyone else, and he will always take the train back to China to visit his relatives during the summer vacation.
And this train must not go around France, let alone Paris.
This further confirmed Chen Muwu's view that something is not quite right with the Russians recently.
"What's the matter with you? You want to sell the car again, and you won't go home? Are you short of money?"
Kapitsa nodded sheepishly.
"But I don't think you have any big expenses recently, so why are you suddenly short of money?"
Kapiza had been thinking about how to ask Chen Muwu to borrow money in the future.
Unexpectedly, this person came to the door by himself.
The opportunity never came again, he made no secret of it, and told Chen Muwu that he wanted to change to a new car to participate in racing.
A thief.
So everything he said before was lying to himself, saying that the shape and color matching of Lagonda were not suitable for his prudent self.
As a result, the 30-year-old Russian, his way of seeking stability is to run racing.
"Peter, I advise you to stop participating in such boring activities, it feels too unsafe."
Chen Muwu recalled the fright he felt when he left for the journey today. Kapica's broken car didn't even have a seat belt, so he could only hold on to the door handle tightly.
Yes, seat belts.
It may be because the current speed is not fast enough, or it may be because people's safety awareness is not high enough. Anyway, not only Kapitsa's cars, but all cars are not equipped with safety belts as a life-saving accessory.
In the same way, there are airbags, which have not yet been invented.
Chen Muwu felt that it was entirely possible to apply Volvo's methods to the present.
When other car brands are pursuing speed and performance, but you focus on safety, isn't this a selling point?
After all, there is nothing more important than human life.
When I have time, I must find a car manufacturer to fool around and see if I can get another sum of money with the two inventions of seat belts and air bags.
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 plan ahead from now on. For things like money, Han Xin must order troops. The more the better.
For example, Austin Motors is good. After all, Lord Austin will have a relationship with Cavendish Laboratory in the future.
"Peter, if you must buy a new car, I can lend you the money.
"But if you're willing to wait a little longer, after I finish what I'm doing, maybe I can find a way to get you a new car from the manufacturer."
Kapitsa just offered himself a great money-making idea, so I can't treat him badly, can I?
"Really? Then can I choose a car? I like the new Rolls-Royce model called Phantom last year!"
There's an old comedy movie called "The Adventures of an Italian in Russia," which has an animal protagonist, a lion.
Chen Muwu felt that the way Kapiza opened his mouth was very similar to that lion.
Rolls-Royce Phantom, how dare he say it!
(End of this chapter)
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