Chapter 13 Amazing problem-solving method
Without waiting until the next morning, just over half an hour later, Xu Chuan wrote out the answer.
The amazing speed of solving the problem made Xu Cheng stare at him suspiciously after receiving the answer.
This question was asked by him personally. It is quite difficult. It is a combination of high school physics and college physics. The answer requires a lot of college physics knowledge. Not to mention high school students, even graduate students from the physics department want to succeed. It's not easy to solve.
But soon, the solution to the problem on the manuscript paper stole his attention.
"Solution: 1. At temperature T, the average kinetic energy of atoms is Ek=3/2kbT=1/2mμ, μ is the root mean square velocity. μ=√3kbT/m, kinetic energy p=√3kbTm, from which we can solve Deb The Luoyi wavelength is λdь=h/p=h/√3kbTm”
"2. The density number of particles is n=N/V, where N is the total number of particles and V is the volume; the average volume occupied by the particles."
"Three."
A complete answer came into Xu Cheng's eyes. Compared with the question, the answer occupied not much space on the manuscript paper.
But it was this simple answer that made Xu Cheng open his mouth.
He never thought that this problem could be solved in this way, starting from the average kinetic energy of atoms, then finding the root mean square velocity, then turning to the kinetic energy, and then finding the de Broglie wavelength.
And in the third question, the rewriting of the equation of the average number of particles and the distance between particles is the soul in the soul.
This step directly reduces the steps to find the density of ordinary gases at room temperature to less than four steps, which is incredible.
"How did you come up with this step?"
After reading the answer, Xu Cheng took a deep breath, suppressed the surprise and shock in his heart, and pointed to the steps to rewrite the equation and asked.
This stroke was like a stroke of God. He, a physics teacher who had led the provincial training team for many years, had never thought that it could be solved like this.
"It's very simple. Starting from the kinetic energy of the field, combined with the Abelian group and Maxwell's velocity distribution function, the root-mean-square velocity can be directly converted to kinetic energy. The subsequent particle equations can be rewritten using vertex expressions and differential equations."
Glancing at where Xu Cheng pointed, Xu Chuan explained with a smile.
"Did you come up with all this yourself?" After hearing the explanation, Xu Cheng asked blankly.
Xu Chuan nodded in affirmation.
These things were indeed all thought up by himself, but they were knowledge before rebirth and some mathematical knowledge that he learned incidentally while studying physics.
"The next generation is to be feared, the next generation is to be feared."
Xu Cheng sighed, and then said: "Have you ever thought about sorting out this problem-solving idea and method and writing a paper to publish it?"
"Submit a paper?"
Hearing this, Xu Chuan was stunned for a moment.
Although submitting papers was something he was very familiar with, he had never thought about submitting papers since he was in high school.
"Yes, when calculating the functional relationship between the typical distance l between particles in the Bose-Einstein condensation phenomenon and the particle number density n, as well as the density of ordinary gases, this method of solving problems is already a brand new one The method is complete, you can write a paper, I believe many journals will accept it.”
"Of course, I'm not sure yet whether there is such a method in the physics world. I will check it out when I go back. If there is really no such method, then you can sort it out and write a paper."
"However, the quality of domestic flagpoles is mixed. You can apply for "Acta Physica Sinica" or "Physics". I also recommend that you apply for the foreign "Progress in Physics." ""Progress in Physics" mainly publishes condensed matter physics and statistical mechanics. This question and the method you used fall within the scope of submission. If you can submit successfully, it will be of great help to you in the future. ”
"You haven't submitted a paper yet, right? So, please come to my office and I'll teach you about the sample essay and writing standards."
"You decide which one to vote for after writing it. I will help you revise and polish it."
Xu Cheng said with a smile, the talent and knowledge of the student in front of him were really amazing.
"I'll go back and check first. You should prepare well. You can put the training aside for a while."
Xu Cheng patted Xu Chuan on the shoulder, turned around and left the classroom to check out relevant information.
He has seen many students who have enough college knowledge in high school, but this is the first one he has seen who can use it flexibly and even find a new and unprecedented method to solve problems.
As an academic, the most valuable thing is to have your own ideas.
This new method and idea for solving the Bose-Einstein condensation phenomenon is enough to write a paper.
That is to say, he is leading the team this year. If it were other high school teachers, they would probably not have the idea of letting high school students participate in SCI.
Although the level of this new method is slightly lower and may not be included in "Progress in Physics", if you are lucky enough to get it, it will definitely be of great help to Xu Chuan.
Not to mention domestic schools, even the top foreign physics universities, whether it is Princeton or Harvard, or MIT and Stanford, will not reject a student who can issue top SCI in high school.
They would even take the initiative to send invitation letters to invite him to go to college.
Xu Cheng also didn't expect Xu Chuan's mathematical ability to be so amazing. Maybe there is hope that he can win a gold medal from IMO next year.
If he can win a gold medal at IMO and a gold medal at IPHO, then China will have its first double gold medalist in the same year.
Even in the entire world, no more than three people have achieved this achievement, and currently there is none in China.
Not to mention winning IMO and IPHO gold medals in the same year, there are no students from China who have won IMO and IPHO gold medals at the same time.
Although physics and mathematics are not separated, the gap between the two is still quite large.
As soon as Xu Cheng left, the classroom became lively, and everyone eating melons gathered around, talking to each other.
"Brother Chuan, what is the thesis? Advanced composition?" This is the first-year high school student expressing his doubts.
"Don't make trouble. Compared with the essay, the composition is not even worthy of mentioning the shoes!"
"Generally speaking, only those who graduate from college need to write a graduation thesis, and only graduate students will publish academic papers. Someone like Brother Chuan who can write a thesis in high school can be said to be unprecedented and unprecedented!"
"I know "Progress in Physics". It is the world's top journal. If you can publish a paper in it, you can directly go to the university to become a professor!"
"What the hell, go directly to the university and become a professor? Brother Chuan is awesome!"
"What is your name, Brother Chuan! From now on, you must be called Chuan Shen!"
“Sichuan God is awesome!”
The students swarming around and the various boasts and rainbow farts made Xu Chuan dumbfounded, but this feeling seemed pretty good?
(End of chapter)