95 Klein-Gordon equation

Style: Historical Author: Zhao ShixiongWords: 5456Update Time: 24/02/20 15:38:28
Just when Chen Muwu recognized this man as Oppenheimer, Oppenheimer also recognized him.

After all, the only East Asian in the Cavendish Laboratory is Chen Muwu, and Oppenheimer had seen countless reports about Chen Muwu and his photos in the Olympic news in newspapers some time ago.

"Chen, hello, Teacher Chen, I am Robert Oppenheimer."

It was the first time that Chen Muwu heard someone call him teacher. It felt strange.

He pretended to be very kind: "Hello, Mr. Oppenheimer, have you been waiting for a long time? Come in with me."

"Okay, Teacher Chen."

Oppenheimer was still very reserved. It was obvious that he wanted to leave a good first impression in front of Chen Muwu.

Chen Muwu wanted to take him straight to the conference room and have a good chat with Oppenheimer.

After all, in his memory, Oppenheimer's mental health was very fragile during his time in Cambridge. If he did not detect the dangers in advance, Chen Muwu was afraid that he would soon receive the poisonous apple soaked in cyanide.

As a result, Chadwick, the deputy of the Cavendish Laboratory, stopped Chen Muwu as soon as he entered the door: "Chen, Sir Rutherford told me that the environment in this conference room on the first floor is really bad. So he asked me to find an unused laboratory for you on the second floor for your daily work and experiments. I have already cleaned it up, take you there now! "

"Okay, thank you, Mr. Chadwick."

Money can make the world go round. Chen Muwu knew in his heart that it should be the annual sponsorship of 10,000 pounds that he attracted that played a role.

Otherwise, in terms of seniority, I, a junior, would never get a separate office!

But in the eyes of Oppenheimer, who didn't know why, this was a big deal.

When he just entered the door, he saw that there were many middle-aged researchers in their thirties and forties still crowded together with others in the open laboratory on the first floor to conduct experiments. Some even had to share the same experimental table with others. .

And Chen Muwu was just a newcomer who was only two years older than him and had just entered the Cavendish Laboratory with a PhD. Why was Rutherford, the director of the laboratory, so caring about him?

Moreover, Rutherford did not agree to let him enter the laboratory at all. Why did Rutherford immediately change his mind as soon as Chen Muwu asked for him?

Who is the talker behind the famous Cavendish Laboratory?

This new teacher of mine is really unfathomable. I must be careful in the future. Building a good relationship with Chen Muwu should be my top priority right now.

After following Chadwick to the entrance of the laboratory, Chen Muwu discovered that he was also familiar with this place.

When I first entered the Cavendish Laboratory last year, I did the visible light scattering experiment here.

There is also a brand new patch on the curtains of the laboratory, where he used scissors to cut a small hole and introduce the experimental light source made of sunlight like his predecessor Newton did.

After verifying that everything was correct, Chadwick put the key that had just opened the door into Chen Muwu's hand: "Chen, from now on, you can do experiments and work here."

"Thank you, Mr. Chadwick, and express my gratitude to the director on my behalf."

After Chadwick left, Chen Muwu glanced at the room. It had indeed been cleaned, which was much better than the damp and dark environment of the conference room on the first floor.

Moreover, the typewriter that I often use has been wiped clean and placed neatly on the laboratory table.

It seems that Rutherford was able to keep the Cavendish Laboratory in order, and his assistant Chadwick was also indispensable.

Later, it was his careful and bold planning of the escape route, contact with all parties, and the cooperation of the British army that allowed Bohr to successfully escape to the United Kingdom by plane from Denmark, which was occupied by Nazi Germany.

"Sit down," Chen Muwu nodded towards Oppenheimer, "Like you, it's the first day I've been in this room. I don't even know if there are teacups here, so I can't entertain you with coffee or tea. .”

"No need to bother, Teacher Chen."

Oppenheimer carefully sat on the sofa. He was still very restrained. After all, his future in the next few years was entirely in the hands of the kind-looking Chen Muwu opposite him.

In order to close the relationship, Chen Muwu originally wanted to sit on the sofa with him, but after thinking about it, he finally couldn't resist the temptation of the right to give orders and sat in the chair behind the desk.

"Mr. Oppenheimer, I read the recommendation letter written by Professor Bridgeman. The letter said that your practical ability in the laboratory is worse. So why do you want to enter the Cavendish Laboratory? ?”

Chen Muwu got straight to the point.

As a newcomer to the United States, Oppenheimer did not understand the rules of Cambridge University, a place that strictly abides by traditional British etiquette.

He heard that Chen Muwu had been calling him by his last name seriously instead of his first name, and he thought that he had done something wrong and might have annoyed the teacher opposite him.

“It’s just because the Cavendish Laboratory is so famous. When I was in the United States, every teacher and professor highly praised it.

"So I thought that since I came to Cambridge University, I must go to the Cavendish Laboratory to have a look."

"You have now seen it with your own eyes. Is the environment of this Cavendish Laboratory the same as the Cavendish Laboratory you imagined? Is there a big difference?"

Oppenheimer nodded sheepishly: "Mr. Chen, to be honest, that's true. Although this laboratory is famous, to put it bluntly, I don't think it can compare to half or even three points of the Harvard University laboratory." One is good.”

"So, do you have any other ideas now? Professor Bridgeman also said in the recommendation letter that you have a rich knowledge base and a solid level of theoretical physics. If you want to continue to study in this field, I can I’ll write you a letter of recommendation and send you to Copenhagen, Denmark, to find Professor Bohr, or to Berlin, Germany, to find Professor Einstein, although the latter doesn’t teach students much now, and of course, he didn’t teach students much before either.”

Chen Muwu suddenly thought of Rutherford's previous complaints about Oppenheimer, so he used it here.

Now that he has accepted Oppenheimer, he has completed the task assigned to him by the old Thomson.

As for whether Oppenheimer would leave Cambridge and go elsewhere, this was entirely his personal behavior and had nothing to do with him.

Unfortunately, the script did not go according to Chen Muwu's plan.

"Teacher Chen, I did have this idea before, but everything changed after I learned that my teacher is you." As the chat progressed, Oppenheimer gradually became less nervous. "Teacher, in the past year, you have not only conducted several successful experiments, but also published many theories that may seem a bit shocking, but are actually very correct.

"I think with you as my teacher, even if I want to study theoretical physics, I don't have to go anywhere else."

Regardless of whether Oppenheimer was explaining the facts or mixed some flattering elements into his explanations, Chen Muwu felt inexplicably very useful when he heard what he said.

Just this benefit from him also showed that Oppenheimer had already made plans to stay in Cambridge and not go anywhere. He had already tacitly agreed in his heart that he would follow Chen Muwu and become the founding disciple of Chen Clan.

It's a blessing, not a curse, but there's no way to avoid it. Since Oppenheimer now wants to follow him wholeheartedly, Chen Muwu feels that maybe he should be nicer to his eldest apprentice and simply take him with him in the future.

Anyway, due to various reasons, Oppenheimer did not live well in the United States in his last life, so why not just not go back in this life?

Well, we also can’t forget about Fermi. They will all be fooled in the future. Don’t let them run to the United States if they don’t agree with each other.

Chen Muwu was stunned for a moment and found that Oppenheimer was still staring at him: "Okay, Mr. Oppenheimer, since you have decided to stay at Cambridge University and stay in the Cavendish Laboratory, it is naturally the best A choice.

"But I want to explain one thing in advance, that is, I have just graduated with a Ph.D., and it is my first time as a teacher. If I do anything wrong, I hope you will forgive me."

"Don't take it seriously, Teacher Chen. You are a teacher and I am a student. You should be more tolerant of me."

"Then let us make progress together!

"I think what you were most worried about some time ago was whether you could enter the Cavendish Laboratory, right? Now that this matter has been resolved and it is summer vacation, if you want to take advantage of this I would welcome time spent in the UK or traveling around Europe.

"It's okay if you want to stay in Cambridge, but I still have a few papers to write. I won't have time to guide you for a while, and I don't have any experimental projects that need to be handed over to you."

What Chen Muwu said is basically the truth. The remaining two wave equations have been delayed for a long time. If the delay continues, someone else's name may be written in the author column of the paper.

However, he also concealed the fact that he had a project to develop an electron microscope.

Oppenheimer, who claimed that he "cannot solder two copper wires together," was not a man with strong hands-on skills at all, nor was he a person who liked to experiment.

In the original time and space, Blackett asked him to use collodion to absorb beryllium vapor, and then tear off the collodion to prepare beryllium foil.

This is a kind of non-technical work that only requires a lot of repetitive manual work.

However, this job almost killed Oppenheimer and almost killed Blackett.

With the lessons of his predecessors here, how could Chen Muwu dare to arrange hands-on experiments for this man?

It's better to just follow him and study the theory.

"Of course, Teacher Chen, you are busy with your business. If there is anything I can do to help, please feel free to tell me."

Although Oppenheimer acted very positively, Chen Muwu said in his heart, how dare I!

But he still wanted to be polite on the surface: "If you want to study by yourself during this period, you can go to the library of Christ College, or of course you can come to me.

"If we encounter something we don't understand in our studies, we can also discuss it with each other. However, except for the questions about what quantum mechanics is and what matrices are all about, I am currently writing an article related to it. Once the paper is written, it should be able to answer your questions.”

The killer weapon that Chen Muwu threw out some time ago is still confused by who sees it.

Even Dirac, who spent his summer vacation in Bristol County, the best mathematician among modern physicists, sent him a letter after learning that Chen Muwu had returned to Cambridge, asking him about quantum information. Something about mechanics.

"Okay, thank you, Teacher Chen."

The conversation between teachers and students ended here. Chen Muwu placed pens, paper, and a typewriter on his desk, while Oppenheimer also took out a book from his bag and started reading quietly on the sofa.



In the original space-time, Schrödinger indeed gave the first wave equation. This equation can describe microscopic particles. In fact, it was the movement law of electrons from the beginning.

Moreover, this equation has great limitations, because the kinetic energy and momentum of the Schrödinger equation are obtained from classical mechanics, so it can only describe electrons moving at low speeds.

When the electron's speed approaches the speed of light, that is, when it enters the sphere of influence of the relativistic effect, the Schrödinger equation becomes invalid.

At the same time, just as Chen Muwu deduced to de Broglie how to guess the Schrödinger equation, using this equation to solve the hydrogen atom spectrum can only obtain three quantum numbers, but not the fourth one controlled by the electron spin. Quantum numbers.

This means that the Schrödinger equation cannot describe the spin of electrons.

In order to solve the first problem that the Schrödinger equation can only describe low-speed electrons, many attempts have been made under the relativistic effect.

This cannot be blamed on Schrödinger for not learning the theory of relativity well and could only start with classical mechanics.

In fact, at the very beginning, when Schrödinger established the wave equation describing matter waves, he used the relationship between energy and momentum in the special theory of relativity, E=pc+mc.

It was just that the equation obtained under the energy-momentum relationship of special relativity could not obtain the spectrum of hydrogen atoms, which made Schrödinger think that it was a wrong equation.

However, according to the energy-momentum relationship E=p/(2m) of classical mechanics, the equation obtained can perfectly solve the problem of hydrogen atom spectrum.

But what Schrödinger didn't know was that the equation he initially solved based on the relativistic energy-momentum relationship was exactly the Klein equation independently proposed by Swedish physicists Osk Klein and Walter Gordon. Because-Gordon equation!

But this Klein-Gordon equation is actually a beautiful-looking silver pewter tip.

Not only can it not correctly solve the spectrum of hydrogen atoms, there are also many other big problems.

Because in the Klein-Gordon equation, the part related to the particle energy used is not the energy E itself, but the square term of the energy E.

This leads to the fact that in the process of solving the particle energy, the root sign of the square term must be taken to obtain the final energy.

Even middle school students know that if you open the root sign, there will be two positive and negative solutions at the same time, which means that the final energy obtained will also have both positive and negative solutions.

There is nothing wrong with particles having positive energy.

And particles have negative energy…

According to Einstein's mass-energy equation, E=mc, if the particle energy is a negative number, the corresponding mass should also be a negative number.

But, how can there be particles with negative mass?

This is simply the most ridiculous thing in the world!

However, the absurdity of the Klein-Gordon equation does not end there, because solving this equation not only results in negative energy, but also negative probability.

Compared with negative energy, negative probability is even more unreasonable!

Normally, when describing the probability of an event occurring is very small, we would only say that it is a zero-probability event, but we would never say that it has a negative probability.

Who knows what negative probability time is?

Knowing that the Klein-Gordon equation is a joke, why did Chen Muwu still have to write this equation into his thesis?

There are two reasons for this. First, this equation is not without merit. Much later, people discovered that although the Klein-Gordon equation cannot describe fermions with half-integer spins like electrons, it can describe The motion of some particles with zero spin.

For example, the famous God particle "Higgs boson" is the only elementary particle that can be described by this equation. In addition, there are also composite particles such as π-mesons and so on.

And in addition to particles, it can sometimes be used to describe the state of fields.

The second reason is that if the Klein-Gordon equation had not brought up the two big troubles of negative energy and negative probability, physicists would not have known how good the Dirac equation was, which solved the big trouble of negative probability.

When I was in junior high school, my Chinese teacher once taught me the benefits of this writing method in my composition class.

Therefore, this method was also used by Chen Muwu in his paper on wave mechanics.

I will first throw out two big troubles that physicists are helpless about, and then I will solve them myself.

Suppress your emotions hard first, and then let them flow out at the end.

Chen Muwu feels that after his paper is finally written and published, it should give today's physicists a little shock.

Chen Muwu became more and more excited as he wrote on his desk, and the keys on his keyboard became louder and louder.

He didn't realize that the day had passed until someone knocked on the door to announce that it was six o'clock in the afternoon, the closing time of the laboratory.

And Oppenheimer, like a mushroom, sat on the sofa for a whole day.

Fortunately, he was also reading the book with gusto, which made Chen Muwu feel a little relieved. At least he wouldn't feel that he was left out, right?

Chen Muwu decided to get close to him: "Robert, you're off work. Today is your first day in the Cavendish Laboratory. How about I treat you out for a meal? And what's your book? Let me read it." You seemed very engaged in reading."

Suddenly hearing Chen Muwu change his name and call him by his name, Oppenheimer immediately felt relieved.

He stood up quickly and respectfully: "Teacher Chen, this book was recommended to me by a student from Christ's College, saying it is a best-seller in the UK market. After reading it today, I found it really interesting, and I read it without knowing it. Spent the whole day in this room.

"Please take a look," Oppenheimer closed the book and turned the cover to Chen Muwu. "This book is called "Murder on the Paris Express," and it is the debut novel written by a writer named Chandler York."

Finally finished, sorry again!

(End of chapter)