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[1] THE SCHOLAR ADVANCED TECHNOLOGY SYSTEM (END)
Chapter 155: Academic Exam
Translator: Translated Henyee Editor: Translated Henyee
Time passes quickly.
On April 20, Professor Lu Shenjian returned to Jin Ling University from a meeting in Shanghai and called Lu Zhou to his office.
As Lu Zhou walked in, the old man smiled and asked, "How are the preparations?"
Lu Zhou replied, "Almost ... Please forgive me."
Professor Lu Shenjian, "Almost? Well then, I'll test some questions. "
He pulled out a drawer and took out an A4 paper. He then placed the paper on the table.
"Write this."
Lu Zhou picked up the pen and when he saw the question, his eyebrows twitched.
There are three questions on paper.
They all look difficult ...
Professor Lu Shenjian smiled and asked, "What, you don't understand?"
Lu Zhou smiled and looked at the question as he said, "No course not, it doesn't look easy."
Professor Lu Shenjian smiled and did not respond. Instead, he crossed his legs and waited patiently.
Easy ls?
It wouldn't be interesting if it were easy.
After all, he was an academic.
This question is not intended for master students, but for PhD students.
If Lu Zhou could resolve the two questions, it would be considered permission. If he could finish all three, it would be very good.
Four of his PhD students were able to solve all three questions.
While Professor Lu Shenjian was waiting for Lu Zhou to do the test, Lu Zhou quickly read through the three questions. The first question seems the easiest.
It's about group theory.
However, it is not a mathematical group theory, but an application of group theory in quantum mechanics.
Because the "theoretical theory" branch of mathematics was created independently by mathematicians long before the advent of "quantum mechanics", it was unlike the "calculus" established by physicists and mathematicians. Therefore, group theory is an "important product" for physicists. It is hard to learn and not easy to use.
For a "mathematician" like Lu Zhou, however, it wasn't too difficult.
[Group theory explanation of the unintentional degeneration of the energy levels of hydrogen atoms]
The question is short, but it contains a lot of information.
The phenomenon of degeneration in hydrogen atoms higher than ordinary atoms is called "involuntary degeneration." However, traditional quantum mechanics cannot explain the phenomenon of accidental degeneration without the use of group theory.
Lu Zhou closed his eyes and recalled his knowledge of quantum mechanics.
Then, he built a mathematical model in his head ...
Lu Zhou opened his eyes and after taking a deep breath, he took out a pen and started writing on paper.
[Let the Hamiltonian hydrogen atom be H \= P2 / 2 ⁇ -Ze2 /r.]
[In the case of Coulomb potential, there is a Runge vector in the system, recorded as M '\= ..]
[Eigen rating from Casimir C group operator \= ..]
[...]
He thought that Lu Zhou would need at least 20 minutes to do the question.
Besides, Lu Zhou answered him correctly.
He planned to insult Lu Zhou when he could not resolve the question, but it was no longer necessary.
[For energy levels E (n + 1) and quantum numbers (n, 1), the degeneration is 2 (l + 1) \= n2 ..]
When Professor Lu saw the answer, he nodded in his mind.
First question, right!
Lu Zhou did not pay attention to Professor Lu's expression as he focused on doing the second question.
The second question is about the problem of Dirac's cavity theory in quantum field theory. It tested his understanding of the Dirac equation and some theoretical knowledge of field theory.
Lu Zhou was not afraid of this kind of purely theoretical question. With the help of the focus capsule, he remembered all of his textbook readings.
For him, this question is a free sign.
Lu Zhou quickly picked up the pen and answered the question.
When Professor Lu saw Lu Zhou answer the question, a faint smile appeared on his face.
He's correct.
This boy is talented in theoretical physics, even more than four of his PhD students.
If the University did not give Lu Zhou a personal talent development plan, he would want Lu Zhou to study a PhD with him as well.
Of course, he still supported Lu Zhou's talent plan.
Lu Zhou solved the second question and quickly turned to the third question.
When he saw the third question, he was stunned for a moment.
The third question is about "string theory".
The so-called string theory attempts to solve two major physical theories of incompatibility. That is the contradiction between quantum mechanics and general relativity. String theory wanted to describe the entire universe, and it was known as the legendary "Grand Unified Theory.
This theory has a lot to do with mathematics.
Venezzino, who worked at CERN 1, initially wanted to find a mathematical formula that described the strong forces in the nucleus. As a result, he found Euler's formula in an old math book. This formula unexpectedly managed to portray a powerful force.
Even though it sounded fake, it was just a strange coincidence.
Like this, string theory was born.
Later wave string theories such as superstring theory and the famous M theory of "unification of rivers and lakes" as proposed by Edward Witten were also developed.
The ultimate goal of physics is to build a "great unification theory".
However, Chinese research on string theory is at an awkward stage.
The physics of self-condensed matter stands on the opposite side of theoretical physics. The theoretical physics community is reluctant to accept this “matik” freak.
Even the Chinese theoretical physicist leader and one of the most influential physicists in the world, Yang Lao, expressed his disapproval of string theory. In contrast, the Chinese mathematical community accepted string theory proposals.
However, what puzzled Lu Zhou was that the third question asked his opinion of string theory.
An opinion?
Opinion on theory? Or opinions on the development of theory?
Is this a subjective question?
Lu Zhou stopped for a long time, he felt lost.