Scholar’s Advanced Technological System
Chapter 155: Academician's test
time flies.
On April 20th, Academician Lu returned to Shanghai from the Shanghai University. After the meeting, Lu Zhou went to the office.
When Lu Zhou entered the door, the old man looked over and asked with a smile.
"How is the preparation?"
Lu Zhou: "It’s almost... I’m also looking for a professor’s mercy.”
Academician Lu: "Is it almost? That's OK, I will test you two questions at will."
He said, he pulled the drawer open and pulled out a piece of a4 paper from it and placed it on the table.
"The pen is here, take the past to write?"
Lu Zhou took the pen and paper and looked at the subject above. The brow twitched.
Say good two questions, three words on the paper clearly.
And to say that a good test, no matter which question is not as easy as it is...
Academician Lu smiled and asked: "Why, can't you understand?"
"How come," Lu Zhou smiled and looked at the subject. His face showed a thoughtful expression. "It seems that it is not easy."
Academician Lu smiled and didn't talk. He lifted his legs and waited for him to write.
Not easy?
This is easy, what do you mean by the test?
How do you say that he is also an academician, and that the academician is a graduate student, can he be the same as a graduate student with an ordinary professor?
These topics were not originally for postgraduate students, but when he recruited doctoral students, he took a look at the professional knowledge of those interviewers.
Three questions can be made in two ways, that is, qualified, and if the three questions can be made in three ways, then it can be said to be excellent.
The four doctoral students he brought with him were all able to make three questions. Although the topics examined are not the same, the level is similar.
Just as Academician Lu was waiting for Lu Zhou to write, Lu Zhou had quickly passed all three questions, and then looked at the first question, which was also the easiest question for him.
The first question is to examine group theory.
However, it is not the group theory of mathematics, but the application of group theory in quantum mechanics.
Since the "branch theory" branch of mathematics was created independently by mathematicians long before the emergence of "quantum mechanics", unlike "calculus", it was founded by physicists and mathematicians. Therefore, group theory is an "important product" for physics workers. It is difficult to learn and not easy to use.
However, for "maturity birth", Lu Zhou, who re-enters "mathematical physics", is not so difficult to deal with.
[A group theory explanation of the accidental degeneracy of hydrogen atomic energy levels]
The topic is short and the amount of information is not small.
The phenomenon that the degeneracy of hydrogen atoms is higher than that of ordinary atoms is called "accidental degeneracy." However, traditional quantum mechanics cannot explain the phenomenon of accidental degeneracy until the introduction of group theory makes this phenomenon theoretically explained.
Closed his eyes, Lu Zhou recalled the knowledge of quantum mechanics he had learned in his mind, recalling everything about hydrogen atoms.
Then, mathematically build the model...
Open your eyes, Lu Zhou took a deep breath and finally picked up the pen and wrote it on the paper.
[Let the hydrogen atom Hamiltonian be h=p2/2-ze2/r...]
[In the case of Coulomb potential, there is a Runge-楞 vector in the system, recorded as m’=......]
[The eigenvalue of the group casimir operator c=...]
[...]
Seeing the speed of Lu Zhou’s problems, Academician Lu’s eyebrows picked up slightly.
He originally thought that Lu Zhou had to spend at least twenty minutes on this topic to think about it. I didn't expect him to have already written it.
Moreover, the idea is completely correct.
Originally, he also planned to put two mouths when Lu Zhou couldn't think of it, but now it seems that it is no longer needed.
[For the energy level e(n+1) and the quantum number (n, 1), the degeneracy is Σ2(l+1)=n2......]
Seeing the answer, Academician Lu nodded silently.
The first question, correct!
Did not pay attention to see the expression on the face of Lu Academician, Lu Zhou continued to focus on the next topic to focus on the line of sight.
The second question is about some of the problems of Dirac's cavity theory in quantum field theory. It examines the understanding of Dirac's equation and some theoretical knowledge about field theory.
This kind of pure theoretical knowledge is not difficult for Lu Zhou. Under the guidance of drug guidance, things that have been read in will not be forgotten.
For him, this is a sub-question for the first question that needs to be thought about for a while.
Without stopping, Lu Zhou quickly wrote a pen to answer various theoretical questions raised in the topic in a discourse.
Seeing Lu Zhou made this question, Lu’s face showed a gratifying smile.
Yes, he did not look away.
This kid is a good seed for studying theoretical physics. With his talents now displayed, he is even more hopeful to inherit his clothes than the four doctoral students he brought.
If the school had not given him a talent development plan for a higher platform, he even thought about it, and let him just count it on his own.
Of course, he just thinks about it, and he also supports scientific research and nutrients on a higher platform. He also supports it.
Solved the second question, Lu Zhou continued to look at the third question.
However, when he saw the third question, he squatted.
The third question is a topic about "string theory."
The so-called string theory mainly tries to solve the two main physics theories of incompatibility on the surface, that is, the contradiction between quantum mechanics and general relativity, and wants to create the "all things theory" that describes the whole universe, that is, the legendary " The Great Unified Theory."
To put it bluntly, the discovery of this theory has a lot to do with mathematics.
Venezzino, who works at the CERN, originally wanted to find a mathematical formula that describes the strong forces in the nucleus. As a result, I found the Euler formula for 200 years in an old math book. It was unexpectedly found that this formula can successfully describe the strong force he requested.
This sounds a lot like the plot in a martial arts novel, but the truth is such a coincidence.
Under such a coincidence, the embryonic form of string theory was born.
Including the later wave color string theory, superstring theory, and the famous m theory of "unification of rivers and lakes" proposed by Edward Witten, all developed on this basis.
The establishment of a "big unified formula" that describes everything in the universe is almost the ultimate goal of theoretical physics.
However, what is more embarrassing is that the development of string theory in China is in a very embarrassing situation.
Condensed matter physics itself stands on the opposite side of theoretical physics. The theoretical physics community seems to be reluctant to accept this "mathematic freak."
Even the leader of domestic theoretical physics, one of the most influential physicists in the world, Mr. Yang Lao, expressed his disapproval of string theory. On the contrary, it is the domestic mathematics community, and accepts and accepts the attitude of string theory. For example, Mr. Qiu Lao, “liked” the string theory for cross-border.
However, what makes Lu Zhou somewhat unpredictable is that this third question is not the knowledge point of the string theory, but the opinion of the string theory.
view?
What is the theory? Or is it a view of the development of theory?
Is this a subjective question?
The nib stopped on the paper for a long time, and all the way through to the last level of Lu Zhou, I was a little lost.
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