Chapter 55 You just need to write the equations, and I will leave the rest to you
Xu You believed that even those seniors in the physics department might not be able to find the problem.
After another series of calculations, Xu You finally came up with accurate data on the energy levels of the hydrogen atom.
And based on the tiny deviations, the radius of the proton's internal charge distribution was revised.
After comparing the data, Xu You indeed found that the accuracy was much improved compared to before.
After calculating more accurate results, Xu You finally felt a sense of accomplishment.
"However, compared to the long-range subtraction scheme used by supercomputers, the accuracy is still much lower."
After all, the human brain is not a computer. No matter how smart it is, it can never reach the computing speed of a computer.
At this time, Xu You still felt a little lost in his heart.
Even the results of my calculations are already very accurate.
But Xu You knew that compared with the results of supercomputers, it was still too rough.
"What's wrong? Did you encounter any problems?"
Seeing Xu You's expression, Lou Song asked curiously.
"You can't really say that. I did manage to do it. It's just that the result isn't that accurate. I suddenly realized that the human brain can never be better than a computer, and I felt a little hopeless."
Xu You told Lou Song what had just happened.
"Alas, there's nothing we can do about it. This is the impact of technological development. I understand that feeling of despair, just like the despair when Kejie and AlphaGo played chess."
In the past, artificial intelligence for Go was unable to defeat even some slightly stronger amateur players.
But with the advancement of artificial intelligence algorithms, even top chess players will be defeated when facing artificial intelligence.
"However, I think with the combined efforts of the two of us, we may be able to make this result more precise."
At this time, Lou Song suddenly changed the subject.
"Hmm? Really, Lou Song?"
"I think we can give it a try. As long as you can list a more accurate equation, I will solve the rest. Because from now on, it will be a math problem."
Xu You was delighted when he heard this.
It sounds like there might be something going on!
If they could really use the power of both of them, they could make the calculation more accurate.
That would definitely be a very refreshing thing.
"If you can summarize all the data and equations, I will try to compile an algorithm to see if I can calculate a more accurate result. Of course, if the amount of calculation is too large, my computer may crash."
Lou Song's computer is equipped with a 12th-generation Core processor, which is fully .
"Okay, then I'll try to reformulate the equation."
Xu You knows basically nothing about computer algorithms.
Fortunately, with the genius Lou Song, Xu You saw hope of solving this problem.
In the next few days, the two spent almost all of their spare time on solving this problem.
The process of solving the problem was not as easy as expected.
In fact, there is no problem with either Xu Youlie's equation or Lou Song's algorithm.
However, it is impossible to complete a large number of calculations within the limited computing power of computers.
The equation can only be simplified while ensuring accuracy as much as possible.
Finally, after the two of them revised the plan many times.
Finally, a feasible plan was developed.
And Lou Song's computer, after dozens of hours of calculation.
Finally, the final result was calculated.
"Great! This time the difference from the experimental result is only two standard deviations!"
Compared with the previous error of five standard deviations, the accuracy this time has undergone a qualitative change.
Seeing this ideal result, Xu You and Lou Song couldn't help but high-five to celebrate.
Although this is just a random question made up by Wang Xiangwu, its difficulty and application value are much higher than those of the competition questions.
No matter how difficult the competition questions are, they are just carefully designed by the question setters to test students' abilities.
Compared with the actual problem, it is completely different.
Not only do real scientific research problems have no standard solutions, but even the questions themselves may be wrong.
This was also the first time that Xu You and Lou Song had close contact with scientific research.
After the excitement, Xu You began to organize the entire problem-solving process.
Because I don’t know whether using computer algorithms to assist in the calculations is within the rules.
Xu You specifically listed both methods in the process.
And in the computer algorithm section, Lou Song's name was left.
After organizing the entire problem-solving process, Xu You added an attachment and sent the file to Wang Xiangwu's email.
…
In the evening, after finishing a day's work.
Wang Xiangwu remembered the homework he had assigned before.
“Let’s see if any students can do it.”
In order to distinguish between the teaching and scientific research parts of the work.
Wang Xiangwu has two different mailboxes, which receive two different types of emails.
Wang Xiangwu logged into the email address he left for the students and started checking the emails.
“Yes, there are still quite a few students who have done this problem.”
There are more than thirty unread emails in Wang Xiangwu's mailbox.
Wang Xiangwu clicked on them one by one, checking everyone's solution process for this question.
Just as Wang Xiangwu expected.
The vast majority of emails did not take into account the fact that the energy level data of the hydrogen atom was inaccurate.
But this cannot be blamed on the students, after all, this is a question beyond the syllabus.
Moreover, in class, Wang Xiangwu only mentioned it in one sentence and did not explain the details in depth.
Of course, even so, this cannot be considered a wrong result.
It can only be said that the accuracy is relatively low.
"Not bad! There are still a few students who have considered this issue."
Finally, Wang Xiangwu saw several students carefully considering the problem of the energy levels of the hydrogen atom.
The result was successfully calculated to be only five standard deviations from the experimental value.
“This year ’s class of students is pretty good.”
Logically speaking, questions of this difficulty are at a level that only master's students can achieve.
Even for a student at Ji University, it is already remarkable to be able to solve such a problem in the sophomore year.
"Hmm? This is..."
At this time, a unique solution process appeared in front of Wang Xiangwu.
It is said to be different because this answer is much more complicated than the answers given by other students before it.
The previous process was similar to that of those students. They all took into account the error in the energy levels of the hydrogen atom and calculated an answer with an error of only five standard deviations.
But the other solution that came later made Professor Wang Xiangwu frown.
“There’s actually such a method to simplify equations?”
Compared to the long-term reduction programs at Thistle University and the University of Connecticut.
The equation that this student listed in his answer was obviously much simpler.
Although the accuracy of such an equation will be slightly lower than that of the long-range subtraction scheme.
But at the same time, the amount of calculation can be greatly reduced.
You don't even need a supercomputer; a better home computer can calculate the result.
“He even edited the algorithm himself? This kid is really amazing!”
