Chapter 609: Proof of the existence of the solution
Afternoon.
Walking into the classroom with the class bell ringing, looking at the crowded classroom, Lu Zhou smiled and made a simple and clear opening statement, and then started the first computational materials science class in his life.
In fact, strictly speaking, the course of computational materials science is not a compulsory course for the major of applied chemistry, and the mathematical knowledge and programming foundation that need to be involved in it are still too difficult at the level of undergraduates.
However, with the development of computer technology, the presence of computational materials science has become stronger and stronger, and Lu Zhou's position as the founder of this emerging discipline has led to this course being stuffed into a special course, and it is still a mandatory one.
After all, Jinling University has been running for so many years, and it has produced such a Nobel Prize. Nuo was not stopped by Lu Zhou, but he was afraid that the statues were erected.
However, in fact, the school thinks too much.
Even if there is no "mandatory" setting, he doesn't need to worry about no one coming to class.
Sitting in the classroom are not only the students of the Golden University, but also the top students who have come from the University of Tokyo by subway, and even professors who do research in theoretical chemistry, nanomaterials, and so on. Even though most people will complain on social platforms about "it's so difficult" and "I don't understand" after listening to the class, in fact, people who take notes carefully in the lecture still account for the vast majority of ......
After finishing the class with one hundred and twenty points, Lu Zhou left the classroom amid a round of applause.
Standing in the corridor and glancing at his phone, he saw that it was still early, so he turned around and went to the office of the hospital.
When he came to the office, several of his students and assistants were there.
Although he hasn't come to the office to show his face in the past few days, several of his students still insist on clocking in every day.
Walked to his place and sat down, looked at the clean and tidy desk, Lu Zhou reached out and flipped through the folder next to him, but he didn't find what he was looking for, so he asked casually.
"Where's the scratch paper I put on the table?"
Hearing Lu Zhou's inquiry, Assistant Zhao hurriedly stood up and said, "When I was helping you organize your desk, I put it in your drawer." ”
Lu Zhou: "Well, thank you...... But in the future, I don't have to tidy up my desk for me, just keep it in its original shape. ”
Zhao Huan nodded embarrassedly and said, "Okay professor, I'll pay attention." ”
Taking out the scratch paper from the drawer, Lu Zhou flattened it on the table, looked at the lines of arithmetic that had been written a week ago and thought for a while, and then continued to write along the back of it.
Glancing in the direction of Lu Zhou, Feng Jin, who had been writing at the desk before, hesitated for a moment, but finally made up his mind, stood up and walked towards him.
"Professor."
Looking at the students standing next to the desk, Lu Zhou, who was in a good mood, asked casually, "What's wrong?" ”
"That question...... Did you figure it out? ”
Lu Zhou smiled and said, "Have you read something on my paper?" ”
Feng Jin scratched his cheek a little embarrassed: "I accidentally looked at ......"
Looking at the embarrassment on his face, Lu Zhou didn't say anything.
In fact, he didn't really care that Feng Jin peeked at the things on his scratch paper.
After all, if it is something important, I will not casually throw it on the table, even if I don't hide it, at least I will stuff it in a drawer.
"And then? Worked on that question for a week? ”
“…… Hmm," looking at Lu Zhou, who didn't care much, Feng Jin was relieved in his heart, and scratched the back of his head with some shame, "I tried to think about it for a week, but I didn't have a clue at all. ”
"It's normal to have no clue, if you can solve that problem, don't study for a master's degree, just become a professor."
Hearing this, Feng Jin smiled awkwardly.
As soon as he came up, he challenged the Yang Mills equation, and he admitted that he was indeed a little inflated.
Looking at the expression on his face, probably guessing his thoughts, Lu Zhou smiled and continued: "Tell me how you feel about this week." ”
Feng Jin was slightly stunned: "Thoughts? ”
Lu Zhou: "That's right, since you said that you have been thinking about it for a week, then no matter whether you can think of ideas to solve the problem, you still have to think of something, right?" Don't tell me you're just making a bunch of pointless doodles on the scratch paper in your office. ”
Feng Jindi's face turned red, and he argued: "It's not graffiti, I'm also thinking about it seriously." ”
Raising his eyebrows, Lu Zhou asked, "For example?" ”
"For example......" wanted to say it but was afraid that Lu Zhou would laugh at him, Feng Jin hesitated, but finally gritted his teeth and boldly said what he thought in his heart, "According to my understanding of quantum mechanics, the classical Yang Mills field is massless, but the medium particles with strong interactions can have mass. In this case, the problem might be simpler if we introduce a scalar field on a space-time manifold. ”
Lu Zhou nodded approvingly: "Not bad." ”
Feng Jin looked at Lu Zhou in surprise, he didn't expect him to praise himself.
Lu Zhou: "You taught yourself quantum mechanics? ”
Hearing this, Feng Jin, who was still a little surprised, suddenly became depressed.
If you want to come to the professor, it is not your own idea itself, but your own attitude towards extracurricular knowledge in advance......
Looking at Feng Jin, who nodded reluctantly, Lu Zhou suddenly smiled and said, "You remind me of someone." ”
Feng Jin was slightly stunned, and subconsciously asked, "...... Who? ”
"One of the students I took at Princeton, who is now doing a Ph.D. at Witten, chose a major in mathematical physics. You have a little bit of a similar personality, and you are both stronger. ”
Speaking of which, time really flies, and in the blink of an eye he has left Princeton for more than a year.
I don't know how his students are doing now.
Qin Yue is probably still a lecturer at Princeton, and some time ago they exchanged questions about number theory in an email.
Vera ......
With a subtle unnatural look, Lu Zhou coughed lightly and ended the topic.
"Going back to the previous topic, an objective evaluation, your thoughts are not very problematic in a sense."
As soon as he heard this, Feng Jin immediately asked excitedly, "Really?" ”
“…… Don't be in a hurry to be happy just yet, what I said is just that there are no big problems," Seeing Feng Jin's excited expression, Lu Zhou continued, "However, in physics, no problem does not necessarily mean that it is correct. ”
"It doesn't mean...... That's right? ”
"That's right," looking at Feng Jin, who was stunned there, Lu Zhou nodded with a slightly approving expression, "When you can really understand the meaning of what I said, the truth will be very close to you." ”
……
At school it was until six o'clock in the evening.
When Lu Zhou returned home from school, it was basically dark outside.
Walking straight into the renovated study, pulling out a chair and sitting down, he quietly picked up the pen and began to put the finishing touches on the unfinished proof of the morning.
Sometimes, math problems are just so magical.
When an idea is clear, and can be predictably continued, the subsequent process is just a matter of course.
After writing the last line of calculations, looking at the stack of scratch paper, the corners of Lu Zhou's mouth hooked up a comfortable smile.
Although it is not a decisive achievement, it can at least be used as a phased achievement that can be grasped.
That is, the existence of the solution of the Young Mills equation is proved by using mathematical methods.
As the first half of the millennial puzzle on the Mills equation of Young, the problems in this section are not really challenging for him.
Although he also used some mathematical skills to solve this problem, there is no innovative method.
Basically, the core part of the proof revolves around the L manifold that he figured out when solving the NS equation problem.
In any case, this problem is solved.
The next step is to solve the Yang Mills equation......
Compared with the existence of proof of the existence of a separate solution, this part of the problem is undoubtedly much more challenging......
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