Chapter 60 Young people are still too arrogant
Hearing someone talking to him, Xu Qingzhou looked up and found that the girl with glasses was gone, and a small card was left on his left side.
[Senior, thank you for your lecture, I’m going to leave in advance]
The one who spoke just now was the old professor on the right.
"Okay, I just want you to take a look at it for me." Xu Qingzhou nodded with a smile and handed over the paper manuscript.
The reputation of the Peking University professor is pretty good.
He didn't have much defensiveness against professors from the School of Mathematics. He had been a professor for so many years and probably published more papers than he had read in mathematics textbooks. There was no need to worry about his papers as an undergraduate.
Generally, only some unscrupulous teachers would compete with students to get their signatures signed.
Professor Gu Zhizhong took the paper and put on his glasses again. He also just noticed that the student next to him was very serious. There was manuscript paper on the table, especially when he saw the title "About the Application of Euler's Formula in the Representation of Wave Functions" At that time, I suddenly became interested.
It would take some time to meet the other party, so Xu Qingzhou did not wait and concentrated on translating.
After a while, Gu Zhizhong took off his glasses and returned the paper to Xu Qingzhou with admiring eyes, "This paper is very interesting. The wave function is expressed as a complex exponential function through Euler's formula, which greatly simplifies the calculation and physical explanation of the wave function. ."
"Are you a student of that old guy Zheng Shiyi? Hey, he found a treasure."
Although Zheng Shiyi is in several colleges, he is quite accomplished in physics.
In addition to showing solid mathematical knowledge, Xu Qingzhou's paper also has a very solid physical foundation.
So Gu Zhizhong subconsciously thought that Xu Qingzhou was his old friend's new graduate student.
Seeing that Gu Zhizhong had misunderstood, Xu Qingzhou felt helpless and explained with a smile: "Professor, I am a freshman."
"Huh?" Gu Zhizhong's expression changed and he shouted out loud: "You are a freshman!"
Huh~
In the library, many students looked over.
I want to know what this freshman has done to shock Professor Gu, who has always been calm.
Xu Qingzhou nodded and took out his card.
Xu Qingzhou.
Mathematics College
Is this really a new student? !
Looking at the card, Gu Zhizhong had a strange look on his face. Realizing that he had lost his composure, he returned the things to Xu Qingzhou and said, "Classmate Xu Qingzhou, it's not convenient to talk in the library. If you want, you can go to my office to chat."
"Okay." Xu Qingzhou nodded and packed his things.
He followed behind with the computer in his arms, turned a corner, and followed Gu Zhizhong into an office.
"Sit wherever you want, don't be restrained." Gu Zhizhong pointed to the chair.
Xu Qingzhou was naturally not nervous. He sat down casually and put the computer and manuscript paper aside.
"Classmate Xu Qingzhou, can you briefly tell me your original intention of writing this paper?"
Professor Gu Zhizhong stared at Xu Qingzhou with sharp eyes. Through the thick reading glasses, there was unconcealable surprise in his bright pupils.
This paper was so well written that he couldn't believe it, or rather couldn't believe it, that a freshman undergraduate could write it.
"We have been exposed to Euler's formula in high school, but only the basic form of Euler's formula e^(ix)=cos(x)+isin(x), and how it represents the relationship between the exponential form and trigonometric form of complex numbers. ”
Xu Qingzhou talked eloquently, describing how he came up with this topic, how he combined mathematical tools with physics, and so on.
"Then I consulted some books on my own. By chance, I discovered that Euler's formula can be used as a tool to simplify the calculation and understanding of the wave function in quantum mechanics."
At the end, he added somewhat: "Actually, besides mathematics, I am quite good at physics."
"You are so immodest, kid."
Gu Zhizhong smiled. Sure enough, he was still a young man. He was too energetic. Even at his age, he did not dare to say that he was good at a certain field. However, this is normal. If he could write such a paper when he was young, he might be even crazier.
He rummaged around on the desk a few times and quickly pulled out a piece of manuscript paper, "Please deduce this."
"Just solve the first question."
This is a topic he prepared for two newly admitted graduate students.
Xu Qingzhou took the manuscript paper, and there was a question about Euler's formula, including the derivation process, geometric explanation, improvement or expansion, and the extension of Euler's formula to high-dimensional space.
"good."
Xu Qingzhou knew that the professor wanted to test his strength. Deriving Euler's formula requires an in-depth understanding of basic knowledge such as complex numbers, trigonometric functions, and series. It is indeed suitable as a tool to test students' basic knowledge.
He immediately took a pen and started writing on the table.
There are many ways to derive Euler's formula, including Taylor series proof method, composite function proof method, integral proof method, etc.
Seeing that Xu Qingzhou started writing immediately, Gu Zhizhong was not in a hurry. He found a piece of completed information and checked the data.
50 minutes passed.
"Professor, that's it." Xu Qingzhou handed the manuscript paper to Gu Zhizhong.
Pretty fast. Gu Zhizhong was surprised. This derivation process took his graduate students more than 40 minutes on average, and some were slower, even taking an hour or two.
Taking the manuscript paper, he found a problem: "Why are there so many pages?"
"Seeing that you were busy, I simply solved the last two questions." Xu Qingzhou replied shyly.
Gu Zhizhong: "."
Gu Zhizhong glanced at Xu Qingzhou suspiciously and put his eyes on the manuscript paper. Xu Qingzhou used De Moivre's formula method, connecting complex multiplication and angle addition through De Moivre's formula, and then derived Euler's formula.
The calculation process is very simple and flawless.
He nodded with satisfaction and quickly looked to the back to ask two questions.
Xu Qingzhou was not in a hurry and was waiting nearby.
The hour hand of the clock on the wall slowly approached 11. Gu Zhizhong finally finished reading the last bit of the calculation process and took off his glasses. His expression was a little amazed and a little relieved, "Young people are scary, you write very well, some of my graduate students are not at your level. "
"I've read your paper. The process is fine. It can even be said to be perfect. There are basically no other problems. If it weren't for the fact that you just joined the school, I would have wanted you to come here to do research."
Xu Qingzhou was still very modest: "Thank you for your praise. I still have a lot to learn."
"There is no need to be modest in this regard. I can see your level." Gu Zhizhong held the tea cup, took a sip of tea, and asked: "I see you are translating the paper, where are you going to apply?"
"Professor, do you have any recommendations?" Xu Qingzhou didn't know much about mathematics journals.
Gu Zhizhong thought for a while and said:
"Mathematics journals in China are of mixed quality. I recommend applying to foreign journals, such as "Progress in Mathematics" and "Mathematical Invention", both of which are biased towards theoretical mathematics."
"The former covers a wide range of mathematical fields, from basic pure mathematics to applied mathematics, and then leads to the latest application frontiers. The articles published by the latter often include research on mathematical or physical phenomena. You decide which one to vote for, I will not Give me your opinion.”
"I'll study it when I get back."
Xu Qingzhou had seen these two before, and they were both SCI, which was in line with his expectations.
Gu Zhizhong nodded with a smile, glanced at the wall clock, and said, "Okay, it will take you a lot of time. Go back. When you finish translating, if you are willing, you can bring it to me to help you look at it."
"Thank you, professor. Come back next time." Xu Qingzhou was very grateful. With an experienced professor as a consultant, the acceptance rate of the paper should be much higher.
Farewell to Gu Zhizhong, Xu Qingzhou did not return to the library. It was almost 11 o'clock and the library was about to close, so he walked towards the dormitory building.
(End of chapter)