Chapter 515 The matrix appears! Shocked everyone! No one in the physics community can solve it! Go and invite the ancestor Bruce!
University of Munich, Germany.
In the office of Somofe, a professor in the Department of Physics.
Somofe, Vien, Born and Pauli happened to get together.
Today is an exchange meeting for professors of physics from the University of Göttingen and the University of Munich.
Born was invited to come, and Vine and Somalfi received him.
Paoli, as the New Year approaches, came to visit his mentor Somofe and share his experiences at the Institute of Quantum Research.
In Pauli's heart, Somofey was very kind to him and he respected him very much.
So, the two elders, one middle school and one young man got together like this.
After seeing Vienne, Pauli's eyes were inexplicably meaningful.
Just by looking at Wayne's expression, he guessed he was choked by Pauli just now.
However, before the two of them could fight further, Heisenberg came in.
A "academic debate" ended here.
At this moment, all four of them became very interested in Heisenberg's paper.
Even Wien is no exception.
He wanted to know what exactly the kid in front of him attracted Professor Bruce.
The ability to experiment on hands is not good, the basic knowledge is not well mastered, and the personality is still twisted.
No matter how you look, you don't look like you can become a physicist.
As for the Olympic silver medals and genius titles, in the eyes of the Nobel Prize boss Vinn, they are all lie to the children.
"Talkischeap, showmeyourpaper."
Somofee put on his glasses and solemnly took over the paper.
Others sit or stand behind him and read the paper together.
"Basic Equations of Quantum Theory".
Somofei was shocked when she saw the question. "Good boy, it's not a paper that reconstructs quantum theory."
As Heisenberg's mentor, he naturally knew this student's love for quantum theory.
Now the other party has gone to work in the Quantum Research Institute again.
Apart from this direction, he felt that Heisenberg should not look down on him.
But, is it that easy to reconstruct quantum theory?
Somofei no longer thought about it and began to look carefully.
"Spectral frequency array?"
"Spectral probability array?"
Wow!
His heart trembled!
What a clever angle!
What a strong strength!
If you don’t have an in-depth understanding of quantum theory, you will never imagine extracting these two major parameters.
And they are all the observable quantities that Professor Bruce mentioned before.
On this step alone, Somofei concluded that this paper is definitely not simple.
From the official issue of "Nature"!
Wien and Born next to them were both shocked.
For the big guys, the beginning of the paper basically determines the level of the paper.
You can tell at a glance that the idea is high and low, the angle is new and old.
No doubt, this paper by Heisenberg is the top-notch opening.
In the complex quantum theory, find a unique entry point.
Wien couldn't help but glance at the other person.
Murmur in his heart:
"Is it because I misunderstood?"
Somofei looked surprised and asked quickly:
"Haisen Fort, did you think of this when you were in seclusion? ”
"This idea is great!"
If it were the former Heisenberg, I would definitely be embarrassed at this time.
But now, he has been reborn and said openly: "No, professor."
"This is when I was in the Institute of Quantum Research, Bruce The idea raised by the professor at the seminar.”
"He said that if you want to study reconstructing quantum theory, you can refer to this angle."
"Senior Brother Pauli also knows it."
Wow!
Everyone was shocked!
No wonder they just looked at the beginning and felt a shocking feeling.
It turned out to be written by Professor Bruce.
That's right.
Produced by Blues, it must be a fine product!
Polly scratched his head and said a little incredible:
"Heisenberg, have you really deduced the quantum theory based on these two observable quantities?"
< br>
"Damn! Then I will be ridiculed by the Quantum Research Institute again."
Heisenberg smiled. "Senior brother, I'm still a little short of it. You will understand after reading the paper."
Somofei didn't understand the secret between them, so she continued reading the paper.
"Simple Harmonic Oscillator."
"Momentum array p."
"Displace array d."
Hiss!
Everyone was shocked again!
Isn't this the method by Professor Bruce to deduce quantum concepts?
Heisenberg actually learned from it perfectly.
And it is reasonable and well-founded!
Electromagnetic waves that occur at different frequencies can indeed be studied by the method of simple harmonic oscillator.
In this way, complex physics problems will become mathematical problems.
The simple harmonic oscillator is too familiar to physicists.
"This idea is great!"
Somofey asked again:
"Heisenberg, is this your own original?"
Heisenberg Nodded confidently. "Professor, the following content is the result of my retreat."
Somofee even slapped the table excitedly.
"Okay!"
"Very good!"
"Your paper is amazing with this idea alone!"
" It is actually possible to re-study the experimental phenomenon basis of quantum theory from this perspective."
"It's too innovative!"
Somofei was obviously shocked by the paper.
So, even if he was in front of outsiders, he couldn't help but praise his students.
This is why Somofe is loved by students.
Paulie is now happy for Heisenberg and worried about himself.
He had just refuted Professor Bruce before, saying that this direction was wrong.
The result is that I will be slapped in the face soon.
With his qualities, of course, he knows the value of this paper in Heisenberg.
Absolutely a top achievement!
However, this makes him look like a clown.
Pauli comforted himself in his heart: It’s okay, as long as he is thick-skinned, the embarrassing one is someone else’s embarrassment.
Wine's heart was shocked.
He didn't expect that he would really misunderstand it.
The Heisenberg in front of him is indeed worthy of the name of genius.
Although the other party learned from Professor Bruce's method, the use process was completely different.
The other party stood on the shoulders of the giant and looked out into the scenery farther away.
To make breakthroughs in the theoretical direction of physics today, it is one level higher than that of experimental physics.
But Heisenberg did it.
Wynn had an opinion on Heisenberg before, he had to admit:
"Great!"
Among the few, Born was the most peaceful.
When he saw the form of momentum p and displacement d, he suddenly felt a little familiar.
"This symbolic form seems to be a branch in mathematics."
"But I can't remember it."
"It's interesting." >
At this time, Pauli urged impatiently: "Teacher, turn to the next page quickly. I want to know what the final result is." Somofe smiled pamperedly. Keep flipping.
The result shocked everyone.
"Array multiplication."
"p×d≠d×p."
Boom!
Somofei and the other four widened their eyes, as if they had seen something incredible.
"This"
"How is this possible? Does multiplication not satisfy the commutational law?"
"I guess I'm wrong."
But even primary school students wouldn't make such an obvious mistake.
Even if Heisenberg is more proficient in his studies, he will never make such a low-level mistake.
Even Wien, he didn't believe that Heisenberg would carelessly write such things.
At this moment, none of the four people spoke first.
They stared at the formula closely and carefully looked at the derivation process.
That's right!
p×d is not equal to d×p!
Wow!
It's fun now.
The four were completely confused.
They have been studying physics for so many years and have never encountered this phenomenon.
Even if physics transcends mathematics, it must meet mathematical formulas.
How can two numbers be multiplied in different orders, resulting in different results.
This is too incredible!
Somofey muttered to himself in shock: "Oh my God!" "Heisenberg, what kind of monster did you create?"
However, he immediately looked excited. "But I have a hunch that this is definitely a brand new discovery that will cause a shock!"
Pauli also had a serious expression at the moment. His sharp eyes looked at the formula carefully and asked: "Heisenberg, this is the question you want to ask."
" p×d≠d×p. "
Heisenberg looked at everyone's shocked expression and felt very proud.
His achievements were shocked even so many big shots.
"Yes, Senior Brother Pauli."
"Although I have a certain understanding of mathematics, I have never seen this form before."
"After multiplication using arrays, , it is not satisfied with the exchange law. "
"So, I'm stuck here and can't continue." "
"But I can confirm that my theoretical derivation and calculation process, There is absolutely no problem."
Pauli nodded.
Today, there were three big bosses, Wien, Born and Somofe.
Although he often has others, it does not mean that the strength of the big guys is weak.
This paper was read from beginning to end and was completed in one go, very perfect.
But now, it is stuck here, resulting in the inability to proceed.
There is no way to achieve Professor Bruce's goal: to directly deduce the results of quantum theory, such as four large sub-numbers.
Paulie was amazed, and he became interested.
This novel content is extremely attractive to a genius like him.
The more difficult it is, the more excited he is.
He proposed a possible idea:
"I feel this should be some mechanism in mathematics."
"A little similar to the Riemann geometry used by Professor Bruce when he proposed the general theory of relativity."
"Is this strange? The multiplication of the method is also some kind of niche mathematical knowledge? "
"It's a pity that my math is not good, I can't tell what it is."
Heisenberg nodded when he heard this , his ideas are basically the same as Pauli.
In the end, theoretical physics can easily become a mathematical problem.
But in this era, mathematics is not the strength of physicists.
For example, Vien.
He was completely stunned.
As a tycoon of experimental physics, his math is probably the worst present.
So, when he saw Heisenberg fiddling with such a thing, his first feeling was: "This kid might have really made something earth-shaking." After all, According to common sense, the more you can’t understand something, the more awesome it is.
Wynn dared not give any advice either.
This is his worst field.
At this moment, only Born has not spoken.
He frowned, as if he was recalling something.
Heisenberg has been observing the expressions of several people, hoping that someone can answer his questions.
And Born is undoubtedly the one he values the most.
The other party was invited by Professor Bruce to attend a meeting of young scholars held in Belgium more than 20 years ago.
That meeting was often talked about by countless people.
Because the people who attended the conference were now basically famous figures in the scientific community.
There are even many Nobel Prize bosses.
For example, Laue and Harbour.
So, although Born has not won the Nobel Prize, no one dared to underestimate him.
Because he has excellent research results in crystal dynamics, electromagnetic theory and other fields. These theoretical fields have very high mathematical requirements.
I don't know how long it took.
Suddenly, Born smiled slightly and said, "I know what this is."
Wow!
Everyone was shocked!
Looking at Born in unison.
Heisenberg's eyes shone even more, and his face was filled with irrepressible excitement.
He asked tremblingly:
"Professor Bobone, have you seen this mysterious multiplication formula?"
Bochn glanced at the paper for the last time, then raised his head and smiled confidently. "I just remembered it." "Twenty years ago, when I was a student, I once heard a math lecture."
"At that time The professor also mentioned this form of multiplication. ”
No mistakes, one song, one content, one in 6, one book, one bar, one reading!
"If I remember correctly, this thing should be called [Matrix]!"
Wow!
As soon as the matrix came out, everyone was shocked.
This name is so awesome when you hear it, it is definitely very difficult and difficult math knowledge.
Heisenberg was overjoyed, and the cells all over his body were cheering.
This shows that his theory is not wrong!
The formula he derived is mathematical.
In other words, he has hope of reconstructing the quantum theory!
He asked quickly:
"Professor Born, do you understand the operation of the matrix?"
"Is my calculation right?"
Born smiled awkwardly.
"If I had understood matrix, I wouldn't have been confused just now."
"I had only heard of this name at that time, but I hadn't learned it in depth."
"I had only heard of this name at that time, but I hadn't learned it in depth."
" >
"After all, in the field of physics, no one has ever solved problems with mathematical knowledge like mathematical."
"It's too niche."
"The mathematics professor at that time said, even mathematics There are not many people in the world studying the matrix."
Heisenberg sighed in his heart when he heard this, but he was still grateful to Born.
Just make it clear that this is a matrix.
No matter how difficult it is, he can learn from scratch.
At this time, Pauli suddenly retorted: "Professor Born, you have to be sure."
"You must not destroy the sea with mathematics."
" Senberg's physical thoughts."
Paulie's mouth is so powerful.
In order to protect Heisenberg's achievements, he went directly to Born.
Somofey suddenly had a headache.
"This kid"
But, however, Born didn't care because he knew this guy was not targeting him.
He doesn't have the same knowledge as Pauli.
However, Pauli's concerns make sense.
Heisenberg's paper is now at a critical stage.
There must be someone who understands both matrices and physics to guide him and let the calculations in the paper proceed.
And for such a person, I'm afraid there is only that man in this world.
So, he smiled and said to Heisenberg:
"I think you'd better let Professor Bruce see your paper."
"I believe he must know the matrix."
"Now, he is the only one who can guide you in the physics community now. This paper is here."
Boen's words made everyone nod.
Now, Professor Bruce can only take action.
Somofe immediately said: "Let's do this, I'll send a telegram to the Institute of Quantum Research." "If there is no holiday there, someone will definitely receive it. "
"When the time comes, we will listen to Professor Bruce's opinion." "I will post it now, and I guess the UK may not reply tomorrow."
"Heisenberg, don't go back today. You will only be with me for one night."
Heisenberg nodded quickly.
He couldn't hide his excitement.
Then, he sincerely thanked the four people in the room.
Everyone is trying to help him.
At this moment, Heisenberg personally experienced the importance of academic exchange.
The collision of ideas can bring about the spark of innovation.
If he chooses to work behind closed doors, he may abandon the matrix.
Because in his cognition, he does not believe in this kind of multiplication.
"Professor Bruce, thank you."
"You suggested that I go out for a walk more and communicate more with people, which is right."
At this moment, Somofei felt very moved.
He was so impressed by Professor Bruce's ability to cultivate students.
How long has Heisenberg been there?
It is actually about to release shocking results so soon.
This is amazing.
Suddenly, his old face turned red, and he also wanted to study for Professor Bruce's Ph.D.
Finally, the five people made an appointment to meet again tomorrow.
Because they are all extremely curious about matrix.
They were particularly interested in knowing what Professor Bruce thought of the paper.
Somofe smiled and said, "Okay." "Let's witness together tomorrow!" Then, he quickly wrote down the content of the telegram.
In the evening, Heisenberg and Pauli were lying on the bed in the hotel outside the school.
He couldn't sleep no matter how hard he was.
Paulie quipped:
"What, you can't sleep so excitedly?"
Heisenberg said leisurely:
"Oh, hopefully Not a dream for me”
——
Quantum Research Institute.
Li Qiwei smiled slightly after reading Somofe's telegram.
"Matrix"
"I'm afraid I'm the only one in the entire physics community."
In real history, the concept of a matrix was proposed by the British mathematician Arthur Kelly in 1858.
It was first derived from studying the relationship between coefficients and constants of systems of equations.
Filmly speaking, it is a means to solve a large number of systems of equations.
Later, matrices became the most common tool in advanced algebra.
The compulsory subject "Linear Algebra" for later science and engineering students talks about the content of matrix.
But at this point in time, the matrix does not have that much influence.
Similar to Riemann geometry, it also belongs to the partial field of mathematics and has fewer people to study it.
So although Born had heard the lecture on Matrix, he never came into contact with it again.
Of course I couldn't remember it at all.
Li Qiwei felt emotion in her heart.
Heisenberg is worthy of being the top genius in quantum mechanics, and he invented the matrix again.
In real history, this is where matrix mechanics comes from.
As the first version of quantum mechanics, matrix mechanics suppresses the world as soon as it appears.
Because it is like general relativity, most physicists cannot understand it at all.
So, they can only make up for the content of the matrix first, and then return to study matrix mechanics.
In the end, everyone was tortured by the obscure and complex matrix and was dying.
Li Qiwei thought of this and found it funny.
Then he picked up his pen and wrote down the contents of the reply.
December 27, 1922.
University of Munich, Inside the office of Somalfi.
With the extreme expectations of Heisenberg and others, Somofe announced Liqiwei's reply.
"Professor Bohn said correctly."
"p×d≠d×p is the basic characteristic of the matrix."
"It does not satisfy the law of multiplication and exchange. ”
"Matrix is made from."
"."
"After I calculate, after p×d is subtracted from d×p, a constant will be obtained."
"This is the key to the paper."
"And this paper is very interesting, and it may be possible to reconstruct quantum theory."
"In view of the space limitations of the telegram content, I hope Heisenberg will return to the institute as soon as possible after the New Year."
"In view of the limited space of the telegram content, I hope you can return to the institute as soon as possible after the New Year." >
"Talk with me in detail."
"Bruce Lee, stay."
Wow!
Heisenberg was so excited that he almost jumped up.
"Professor Bruce is so strong!"
"He even helped me calculate the next step directly."
"I didn't think of p×d minus d×p at all."
"What's that constant?"
" br>
Heisenberg wishes he could grow a pair of wings and fly directly to the UK.
Where is his paper important this New Year.
But that's fine!
But there is no way, he is, he can pass it.
So, no matter how excited he is, he has to wait until after the New Year.
Everyone looked at Heisenberg's happy look and was happy for him.
At the same time, they were amazed at Professor Bruce.
The other party didn't even read the entire paper, just Somofe talked about a few key points.
As a result, Professor Bruce has deduced the next step.
"This is too exaggerated!" Born said with a smile: "Professor Bruce knows the matrix well."
"Even the proposer and the time of the proposal."
"He is simply a living encyclopedia."
Heisenberg and others could only worship.
Even if it is as strong as Pauli, he has to admit defeat.
Professor Bruce's strength has completely surpassed them one level.
Even if you know the mathematical knowledge of mathematical knowledge like a matrix, you can still use it freely.
——
In the next ten days, Heisenberg never calmed down.
Even on the New Year, countless relatives and friends came to visit, he didn't pay much attention.
Heisenberg's father was a linguist and his younger brother was a chemist.
The two saw the abnormality of Heisenberg and asked curiously: "What's wrong with you?" "Has a major breakthrough in research?" Senbao said nothing, just smirked foolishly.
Faced with his father and younger brother, he dared not say too early now.
If then, Professor Bruce discovers something wrong in the paper.
Then he would be in tears.
——
Time flies very quickly.
In the blink of an eye, 1923 entered.
January 8.
Train station.
Heisenberg met Schumacher for the last time before heading to England.
The moment he saw the other party, he felt that the paper was no longer important.
Schumacher smiled and said:
"What are you laughing at?"
Heisenberg had never performed like this before. He said domineeringly: "From today, I will change the physics community!"< br>
Schumacher instantly turned into a fanatic girl when he heard this, and widened his eyes, giving him enough emotional value.
"Wow!"
"Heisenberg, you are so awesome!"
"Has you made a major breakthrough in your research?"
At this moment, Heisenberg was not humble, and he was full of confidence.
"Yes."
"And, thanks to you."
"The bookkeeping matter you mentioned last time gave me the most valuable inspiration." Schumacher didn't understand, but she could feel the almost overflowing emotions of Heisenberg.
Suddenly, she stood on tiptoe and kissed him gently. "I look forward to the day when you are famous all over the world." Heisenberg was stunned.
He smiled, turned around, and stepped out.
Full in spirit!
"This time, I want to change physics another day!"
(The end of this chapter)