Chapter 60 Young people are too arrogant Hearing someone talking to him, Xu Qingzhou looked up and found that the girl with glasses was gone, and there was a small card left on his left side. [Senior, thank you for your lecture. I have something to do and I have to leave first.] The person who just spoke was the old professor on the right. "Okay, please help me take a look at it." Xu Qingzhou nodded with a smile and handed over the manuscript paper. The reputation of professors at Kyoto University is pretty good. He was not on guard against the professors in the School of Mathematics. They had been professors for so many years and had probably published more papers than the math textbooks he had read. There was no need for them to worry about the thesis of an undergraduate student like him. Generally, only some second-rate teachers would compete with students for a credit on a work. Professor Gu Zhizhong took the paper and put on his glasses again. He had just noticed the student next to him. He was very serious and had a manuscript on the table. When he saw the title "On the Application of Euler's Formula in Wave Function Representation", he immediately became interested. Seeing that the other party still needed some time, 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, looking at him with appreciation. "This paper is very interesting. It uses Euler's formula to express the wave function as a complex exponential function, which greatly simplifies the calculation and physical interpretation of the wave function."
"Are you a student of that old fellow Zheng Shiyi? Hey, he has found a treasure." Although Zheng Shiyi was in the School of Mathematics, he was quite accomplished in physics. In addition to demonstrating solid mathematical knowledge, Xu Qingzhou's paper also shows that he has a very solid foundation in physics. So Gu Zhizhong subconsciously thought that Xu Qingzhou was his old friend's new graduate student. Xu Qingzhou saw that Gu Zhizhong had misunderstood, and was somewhat helpless. He smiled and explained, "Professor, I am a freshman." "Huh?" Gu Zhizhong's face changed and he shouted out, "You're a freshman!" Oh~ In the library, many students looked over. I want to know what this freshman did to shock the usually calm Professor Gu. Xu Qingzhou nodded and took out his card. Xu Qingzhou. 数院 Is he really a freshman?! Looking at the card, Gu Zhizhong had a strange expression on his face. He realized that he had lost his composure, so he returned the item to Xu Qingzhou and said, "Xu Qingzhou, it's not convenient to talk in the library. If you're willing, let's go to my office to talk." "Okay." Xu Qingzhou nodded and packed up his things. He followed behind with his computer, turned a corner, and followed Gu Zhizhong into an office. "Sit anywhere, don't be restrained." Gu Zhizhong pointed at the chair. Xu Qingzhou was naturally not nervous. He sat down casually and put his computer and manuscript paper aside. "Student Xu Qingzhou, can you briefly tell me the original intention of writing this paper?" Professor Gu Zhizhong stared at Xu Qingzhou with sharp eyes. Through his thick reading glasses, there was an undisguised surprise in his bright pupils. The paper was so well written that he couldn't believe it, or couldn't believe it, that a freshman could write it.
"We have been exposed to Euler's formula in high school, but we only touched upon 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 a complex number." Xu Qingzhou talked freely about how he came up with this topic, how he combined mathematical tools with physics, and so on. "I then looked up 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 wave functions in quantum mechanics." Finally, he added: "Actually, besides mathematics, I am quite good at physics." "You are really not modest." Gu Zhizhong smiled. Sure enough, he was still a young man, too arrogant. Even at his age, he didn't dare to easily say that he was good at a certain field. However, this was normal. If he could write such a paper when he was young, he might be even more arrogant. He rummaged around on the desk for a while and quickly pulled out a piece of manuscript paper. "Please deduce this." "Just solve the first question." This was the topic he prepared for two new graduate students. Xu Qingzhou took the manuscript paper, which contained a question about Euler's formula, including the derivation process, geometric interpretation, improvement or expansion, and the extension of Euler's formula to high-dimensional space. "it is good." Xu Qingzhou knew that the professor wanted to test his ability. To derive Euler's formula, one must have a deep understanding of basic knowledge such as complex numbers, trigonometric functions, and series, which is indeed a suitable tool for testing students' foundation. He then took a pen and started writing on the table. There are many ways to derive Euler's formula, such as Taylor series proof, composite function proof, integral proof and so on. Seeing Xu Qingzhou start writing immediately, Gu Zhizhong was not in a hurry. He found a completed document and checked the data. 50 minutes passed. "Professor, it's done." Xu Qingzhou handed the manuscript to Gu Zhizhong. Gu Zhizhong was surprised. The derivation process took his graduate students more than 40 minutes on average. Some were slower and even took one or two hours. After taking the manuscript, he found a problem: "Why are there so many pages?" "Seeing that you were busy, I might as well solve the last two questions as well." Xu Qingzhou answered shyly. Gu Zhizhong: “.” Gu Zhizhong looked at Xu Qingzhou suspiciously and fixed his eyes on the manuscript paper. Xu Qingzhou used De Moivre's formula method, connecting complex number multiplication and angle addition through De Moivre's formula, and then derive Euler's formula. The calculation process is very simple and there is nothing wrong with it. He nodded with satisfaction and quickly looked at the two questions behind him. Xu Qingzhou was not in a hurry and just waited by the side. The hour hand of the wall clock slowly approached 11. Gu Zhizhong finally finished reading the last bit of the calculation process and took off his glasses. He looked a little surprised and relieved. "You are really young. You write very well. Some of my graduate students are not as good as you." "I've read your paper. The process is fine, even perfect. There are basically no problems with the rest. If you hadn't just entered the school, I would have wanted you to do research here." Xu Qingzhou was still very modest: "You are too kind. I still have a lot to learn."
"Don't be modest about this. I can see your level." Gu Zhizhong took a sip of tea from the cup and asked, "I see you are translating a paper. Where do you plan to submit it?" "Professor, do you have any recommendations?" Xu Qingzhou didn't know much about mathematical journals. Gu Zhizhong thought for a moment and said: "There are a lot of different journals in China on mathematics. I suggest you submit to foreign journals such as Advances in Mathematics and Mathematical Inventions, both of which focus on 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 contain research on mathematical or physical phenomena. It is up to you to decide which one to submit to. I will not give you any advice." "I'll study it when I get back." Xu Qingzhou had seen these two before, both were SCI, which met his expectations. Gu Zhizhong smiled and nodded, glanced at the wall clock, and said, "Okay, I've taken up a lot of your time. Go back. When you finish translating, you can give it to me to look at if you want." "Thank you, professor. I'll come again next time." Xu Qingzhou was very grateful. With an experienced professor helping him as an advisor, the approval rate of his paper submissions should be much higher. After saying goodbye 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 this chapter)