A sea of stars for top students

Chapter 87 Group Theory

Seeing a group of people sitting in rows in the dormitory, eating fruits, Wu Bin smiled and started talking.

There used to be a high school student at a certain key point. When he was a sophomore in high school, he felt that the college entrance examination courses alone were a bit boring, so he participated in the physics competition.

Okay, this is a big deal. Xu Bo nodded.

Wu Bin also nodded and continued: After participating in the physics competition for the first time, he was eliminated in the semi-finals, but he slapped his forehead and thought the competition was quite interesting, so he decided to continue it. .”

But at that time, several of his teachers did not recommend that he participate in physics competitions, because if the same difficult problem can be solved by people in the competition class in one hour on average, he would have to spend two to three hours, and in the competition It’s another competition of time and rhythm.”

Although everyone listening wants to complain about whether the competition is not a competition for IQ, but now the boss is telling the story, and whatever he says is what it is.

Then this high school student expressed his dissatisfaction after hearing this. Why can't I do it? I just want to participate!

Seeing how determined he was, those teachers stopped throwing cold water on him and threw the Collection of Problems to him and asked him to write the manuscript.

Speaking of this, Wu Bin took several thick books from the bedside and stacked them together, pointed at them and said, Almost a year later, this high school student found the teacher with six file files thicker than this, and said He is confident that he can get the national first grade.

Looking at the book in Wu Bin's hand, which totaled more than 1,500 pages, everyone else in the dormitory raised their heads and thought about how spectacular six file files thicker than this were.

After showing the thickness to the surroundings, Wu Bin continued: In those six files, all his problem solving ideas, experimental process diagrams, experimental reports, etc. are saved. On each page, he has a For example, if Collection of Problems was the first book he read, he would mark it as A, and then he would mark a certain question in Collection of Problems as A-page 396, which is a relative motion problem with the same reference system, like this.

In the end, when he reached the sixth folder, the mark in the upper left corner had changed to AY, that is, A-Z was not enough for him, so he started from AA and continued to mark down.

Damn it...are there so many books for him to write? Xu Bo said in surprise.

You want to solve the questions but are you afraid of not having any books? You can ask Teacher Cai tomorrow. I think he can recommend more than 1,000 books for you.

God damn, there are more than 1,000 books...

What happened later? Did he win the award? Xu Hao asked curiously.

Well, he did get the first grade in the country later, but he didn't make it to the national team. As he said, Wu Bin picked up the Collection of Problems again, The teacher told us at the time that it was just this Collection of Problems and he read it. Five times, and there’s something new every time.”

Can't afford to offend, can't afford to offend.

After everyone finished speaking, they all returned to their beds and continued reading their books.

Looking at Gu Fan who quickly walked away, Wu Bin picked up a jelly and smashed it over and said, I don't require you to brush the Collection of Problems five times. If you brush the chemistry book five times, you will be fine.

Gu Fan, who was hit, took off the jelly, peeled it open, ate it and said, I know, this is what I'm looking at.

As soon as the mid-term exam was over, Wu Bin naturally entered a state of going all out to prepare for the competition.

During the evening self-study on Wednesday, Wu Bin returned to the small classroom after completing several experimental reports with Bi Wanqing in the laboratory.

Let's leave the experiment of measuring the refractive index until tomorrow and the day after tomorrow.

Okay. Wu Bin nodded as he sat down.

Well, let's continue talking about the more obscure questions today. After finishing speaking, Wan Qing picked up the chalk and wrote on the blackboard.

[Lagrangian's approximate solution (stellar mass)\u0026gt;\u0026gt;Planetary mass\u0026gt;\u0026gt;Satellite mass]

“When calculating the first, second and third points, the center of mass can be approximated as a star. When calculating the fourth and fifth points, the center of mass must be approximated as the center of mass of stars and planets. The essence of small-scale operations is to derive the derivation and then substitute zero. What should I pay attention to here?”

Bi Wanqing turned around and asked Wu Bin.

You can't take it too early. Wu Bin replied immediately.

That's right.

Wu Bin's progress is undoubtedly rapid, so now Bi Wanqing spends most of his time discussing and solving questions with Wu Bin. If he occasionally teaches, he also teaches some relatively biased knowledge. If he passes the exam, he will win a prize.

During this time with Bi Wanqing, Wu Bin did know the special situations that would occur in various exams.

For example, even if you know the method for some questions, it is almost impossible to calculate them correctly in the first test, such as the famous hand calculation of the sixth-order determinant.

In addition, there was some fresh knowledge that Wu Bin had read while reading various books. What Bi Wanqing told him was that it would be better to master some knowledge when you really need it.

For example, the Hilbert space is really needed when learning quantum mechanics.

Memorizing various Gaussian integrals was also when I was learning quantum mechanics.

In addition, Bi Wanqing once told him that our country's quantum mechanics was considered to be at the forefront of the world, which made him suddenly have a huge interest in this subject.

Another one is group theory.

After hearing this, Bi Wanqing told him that this was only used when he needed to do some strange Mathematical Olympiad questions. Questions of a group theory nature were rarely used in competitions.

But this is certainly not to say that group theory is some fancy and useless technique, but that Wu Bin has not yet reached the time to use it.

In truly cutting-edge scientific research, whether in mathematics, physics or chemistry, group theory has numerous applications.

Because there are many different physical structures in the study, crystal structures and hydrogen atom structures can be modeled using group theory methods.

On the podium, after explaining Lagrange's approximation, Bi Wanqing patted the chalk dust on his hands, looked at Wu Bin and said, There should be less than a month left for the exam, right?

Well, there are still more than twenty days. Wu Bin nodded.

It can work! Bi Wanqing slapped the podium, I think you have a chance of winning the first place in the national team even if you go now. If I give you another 20 days, the national team will definitely not be a dream! I will definitely go to see Jing on site then. How did Bei rob you, hahahaha.

Huh? Teacher, are you going to the scene? Wu Bin asked in surprise.

Of course I want to go! How can I not go when my students participate in the national competition? I will go even if I lose my job. Bi Wanqing said with a smile.

If the teacher also goes, then my confidence will definitely double!

Haha, it's not me who should give you confidence, but the knowledge in your head. After Bi Wanqing finished speaking, he took a sip of tea and continued: Well, for the remaining twenty days, you can still learn by yourself. Mainly, I will take a few days to study at night, and I will consolidate mechanics for you. Although it is the most basic foundation of physics, it is also the top priority.

Okay! Wu Bin nodded vigorously.

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