Chapter 60

Hearing someone talking to him, Xu Qingzhou looked up and found that the girl with glasses was also gone, leaving a small card on his left.

【Senior, thank you for explaining the problem, I have something to do, so I'm leaving first】

The one who spoke just now was the old professor on his right.

"Sure, it just so happens that I'd like to ask you to take a look at it for me." Xu Qingzhou nodded with a smile and handed over the paper manuscript.

The reputation of Peking University professors is okay.

For professors in the School of Mathematical Sciences, he didn't have much defense. People had been professors for so many years and had published more papers than the math textbooks he had read, so there was no need to worry about his paper as an undergraduate.

Generally, only some inferior teachers would fight with students for first authorship.

Professor Gu Zhizhong took the paper and put on his glasses again. He also just noticed this student next to him, who was very serious, with manuscript paper on the table. Especially when he saw the title "On the Application of Euler's Formula in Wave Function Representation," he became interested.

"Are you a student of that old guy Zheng Shi Yi?... Hey, he really picked up a treasure."

Read! {

Is the School of Mathematical Sciences really a freshman?!

He nodded with satisfaction, and his eyes quickly looked at the next two questions.

He rummaged through the desk and quickly pulled out a piece of manuscript paper, "You derive this."

Whoa~ In the library, many students looked over one after another.

Xu Qingzhou was not in a hurry, just waiting on the side.

Xu Qingzhou knew that this professor wanted to test his strength. Deriving Euler's formula requires a deep understanding of basic knowledge such as complex numbers, trigonometric functions, and series, which is indeed suitable as a tool to test students' foundations.

At the end, he added: "Actually, besides mathematics, I am quite good at physics."

"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 latter's published articles often contain research on mathematical or physical phenomena. You can consider which one to submit to yourself; I won't give advice."

Xu Qingzhou talked eloquently, telling how he thought of this topic, how he combined mathematical tools with physics, and so on.

In addition to showing solid mathematical knowledge, Xu Qingzhou's paper also showed a very solid physical foundation.

"Hmm?" Gu Zhizhong's face changed, and he shouted out: "You're a freshman!"

There are many ways to derive Euler's formula: Taylor series proof method, composite function proof method, integral proof method, etc.

"I read your paper, the process is no problem, it can even be said to be perfect, and the others are basically no problem. If it weren't for the fact that you just entered school, I would want you to come here to do research."

"No need to be humble in this regard, I can see your level." Gu Zhizhong held the teacup, took a sip of tea, and asked again: "I see you are translating papers, where do you plan to submit?"

Xu Qingzhou.

"Okay." Xu Qingzhou nodded and packed his things.

The hour hand of the wall clock slowly approached 11. Gu Zhizhong finally finished reading the last bit of the calculation process, took off his glasses, his expression a bit amazed and a bit gratified, "The younger generation is formidable. You wrote very well. Some of my graduate students don't have your level."

This was a problem he prepared for the two newly accepted graduate students.

He hugged his computer and followed behind, turned a corner, and followed Gu Zhizhong into an office.

"Just solve the first small question."

Seeing that the other party still needed a little time, Xu Qingzhou didn't wait and concentrated on translating.

"We came into contact with Euler's formula in high school, but it only involved the basic form of Euler's formula e^(ix)=cos(x)+isin(x), and how it represents the relationship between the exponential form of complex numbers and the trigonometric form."

Although Zheng Shi Yi is in the School of Mathematical Sciences, he has considerable attainments in physics.

50 minutes passed.

Gu Zhizhong thought for a while and said: "For journals in mathematics, domestic ones are uneven. I suggest submitting to foreign ones, "Advances in Mathematics" and "Inventiones Mathematicae." Both of these lean toward theoretical mathematics."

Want to know what this freshman junior did to make the always calm Professor Gu shocked. Gu Zhizhong looked at Xu Qingzhou suspiciously and focused his eyes on the manuscript paper. Xu Qingzhou used the De Moivre's formula method, connecting complex number multiplication and angle addition through De Moivre's formula, and then deriving Euler's formula.

"I'll study it after I go back."

Xu Qingzhou saw that Gu Zhizhong misunderstood and was a bit helpless, explaining with a smile: "Professor, I am a freshman."

Xu Qingzhou took the manuscript paper, which was surprisingly a problem about Euler's formula, including the derivation process, geometric interpretation, improvement or extension, and generalizing Euler's formula to high-dimensional space.

The calculation process is very concise, no problem.

Xu Qingzhou naturally wouldn't be nervous, sat down casually, and put the computer and manuscript paper aside.

!.

He then took a pen and wrote down on the table.

"Classmate Xu Qingzhou, can you briefly tell me your original intention for writing this paper?"

This paper was written so well that it made him dare not believe, or rather, unable to believe, that this was something a freshman undergraduate could write.

Gu Zhizhong: "..."

"Seeing that you were busy, I simply solved the next two problems as well." Xu Qingzhou answered shyly.

Quite fast. Gu Zhizhong was surprised in his heart. This derivation process takes more than 40 minutes on average for his graduate students, and some slower ones even take one or two hours.

After a long while, Gu Zhizhong took off his glasses, returned the paper to Xu Qingzhou, and looked appreciative, "This paper is very interesting. By representing the wave function as a complex exponential function through Euler's formula, it simplifies the operation and physical interpretation of the wave function very well..."

Taking the manuscript paper, he found a problem: "Why are there so many pages?"

Gu Zhizhong smiled. Sure enough, he is still a young man, too energetic. Even at his age, he wouldn't dare to easily say that he is very 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.

"After I went back, I looked up some books. By chance, I found that Euler's formula can be used as a tool to simplify the operation and understanding of wave functions in quantum mechanics."

"Professor, it's done." Xu Qingzhou handed the manuscript paper to Gu Zhizhong.

Looking at the campus card, Gu Zhizhong's expression was strange. Realizing 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 are willing, go to my office to talk."

"Okay."

"Sit wherever you want, don't be restrained." Gu Zhizhong pointed to the chair.

"Professor, do you have any recommendations here?" Xu Qingzhou didn't know much about math journals.

Professor Gu Zhizhong stared at Xu Qingzhou with sharp eyes. Through the thick reading glasses, those bright pupils carried undisguised surprise.

Seeing Xu Qingzhou start writing immediately, Gu Zhizhong was not in a hurry, found some unfinished materials, and verified the data.

Xu Qingzhou was still very humble: "You are over-praising me, I still have a lot to learn."

"You kid are really not humble."

Xu Qingzhou nodded and took out his campus card.

So Gu Zhizhong subconsciously thought Xu Qingzhou was a newly accepted graduate student of his old friend.

Xu Qingzhou had seen these two, both were SCI, meeting his expectations.

Gu Zhizhong nodded with a smile, looked at the wall clock, and said: "Okay, delayed you for a lot of time, go back and have a good rest. Young people should pay more attention to maintaining their health."

"Thank you, Professor, then I'll come again next time." Xu Qingzhou was very grateful. With an experienced professor helping as a staff officer, the submission acceptance rate of the paper should be much higher.

Bidding farewell to Gu Zhizhong, Xu Qingzhou didn't return to the library. It was almost 11 o'clock, and the library was about to close, so he walked toward the dormitory building.

(End of chapter)