Anderson's localization is not a theorem discovered in basic research. Pen | fun | pavilion www. ｂｉｑｕｇｅ。 infoIt can be said to be a by-product of the Cold War, or it can be said to be an unexpected result of aerospace science and technology research.

However, the significance of this research has gone far beyond mere technology development. Anderson's localization was originally a perfect interpretation of the behavior of electrons in amorphous semiconductors and is regarded as another milestone in the field of solid-state physics. In the 80s, this concept found new applications in the field of crystallography, and the propagation of waves in quasi-periodic structures and fractal structures was expressed. Considering the coherence of waves at low temperatures, some new results can be found in the phenomenon of electrical transport, and a series of effects reflecting quantum coherence have been observed in the field of mesophysics.

From semiconductors, to quasicrystals, from periodic to non-periodic structures, many new areas of physics research can be accommodated.

At this point, condensed matter physics was officially born.

It was because Philip W. Anderson did a lot of work in this field that in 1977, he and Van Vleck (USA) and Mott (UK) were awarded the Nobel Prize in Physics for their fundamental research on the electronic structure of magnetic and disordered systems.

Incidentally, this award is also one of the few "basic research" in the Nobel Prize in Physics - the Nobel Prize in Physics is generally awarded to a specific project, such as the early "discovery of the preparation method of a certain element", or the middle stage of "the discovery of the existence of a certain microscopic particle", even if the invention or modification of a new research instrument has led to some scientific achievement [such as the improvement of the cloud chamber, or the invention of the phase contrast microscope], The invention of a new experimental method is more likely to win a prize than such basic research -- and in this sense, Mi Tianzhao even has the hope of winning two auspicious canons.

This kind of contribution "because of basic research in a certain field" sounds like a collection of the laureate's lifetime achievements, and is the "consolation" of the "Lifetime Achievement Award" - but how much of a contribution must be that the scattered contributions in the fundamental field can be ignored by the Nobel Prize?

Einstein did not win the Nobel Prize because of the theory of relativity. The first to receive this honor was Max Planck, who in 1918 made a huge contribution to quantum theory.

Well, as for why the work of Wang Qi and Mi Tianzhao is relegated to the realm of the way of physical properties in this world, and all the Nobel Prizes in physics are listed in another universe - this is another sad story. The Nobel Prize in Chemistry is purely nuclides in the early stage, and organic chemistry in the later stage, and there is almost no basic research.

Of course, this is only the trajectory of the physical development of condensed matter in that aura-free universe. In fact, in this universe with aura, the development of this discipline would be very different.

The existence of other topologies between crystals and amorphs is already common knowledge for researchers in Xianmeng. And the mysterious properties of the various heavenly materials and earthly treasures that the human race began to use 80,000 years ago also show people that the classical crystal structure and amorphous cannot explain all physical properties. Therefore. Matter that is "neither crystalline nor amorphous" was widely accepted as soon as it appeared, and did not cause a great controversy because of the discovery of quasicrystals, as in the geochemical community [on Earth, the discoverer of quasicrystals, Niel Shechtman, was even expelled from the laboratory because of this deviant discovery].

But, on the other hand, there are huge problems with this study.

For example, the vast majority of pancrystals, like Element Zero, can only exist in a high spirit environment. It's just that because of its complex structure, pancrystals can often lock in some aura and make themselves stable.

And Reiki - according to Wang Qi's own unverified conjecture, Reiki will expand the range of electroweak interactions - "Dragon Emperor", a spell that expands the effect of electric strength, seems to show that this phenomenon is possible and natural in a high spirit environment.

Therefore, in the eyes of the Immortal Alliance monks, the pan crystal seemed strange and impossible to start - they had no way to strip out the spiritual power inside and then do comparative evidence, and they couldn't even analyze it with ordinary chemical thinking.

However, such "dark ages" should also come to an end.

"I must thank Mr. Tianzhao here. In the sea of calculations, Wang Qi laughed in a low voice: "If I rely on myself, I really don't know how long it will take to get this step." ”

"Starting from the high Reiki environment, we explain the phenomena that exist only in the high spirit environment from the perspective of 'Reiki'." This is also what Wang Qi has always wanted to do but has not done - his level in the field of experimental science can only be said to be ordinary, and he has not been able to do such a "principle-determined" thing.

However, once someone else has done this job, then Wang Qi can fully use his talent in this field.

As if the stars were separated, in the ocean of calculations, the dot plots that were as brilliant as the constellations began to separate, and gradually grouped into several quadrants.

"Screening out the ...... of the test report that meets the specifications"

"Based on the parameters marked in these reports, the results of the experiment were self-summarized ......"

"Formation of the ...... between the experimental group and the control group"

Statistical mathematics can be said to be the application field of probability theory and integration. With Wang Qi's current attainments, it is not troublesome to design a statistical algorithm for a category of data.

The Valley of Burning Gold has accumulated sufficient data. The data is piled up in a chaotic and chaotic manner, and no one can get past the maze of them. However, the combination of the "ideas" provided by Mi Tianzhao and Wang Qi's own "methods" has produced great changes.

He is like creating a flying sword with unparalleled blades, cutting through the fog called "reality" and rushing to the other side of the truth.

Soon, countless inductive experimental data flowed through his mind.

"That's exactly what happened!"

Then, the dot matrix, which was originally an abstraction of the diffraction image, was distorted in his eyes. After the transformation of group theory, it became a concept that was completely symbolic.

The aperiodic structural system is a major advance in solid-state physics. One of the most critical is the electronic theory of disordered systems based on alloys. This theory is a further deepening of the band theory, and the average structure of the band is given by considering the multiple scattering of waves under the framework of retaining the band theory.

Originally, this theory was also used to explain the electrical conductivity of semiconductors. But soon, it was applied to the study of quasicrystals.

And now, things are taking a different turn.

In China, semiconductor research is not too new. However, the presence of pancrystals is stuck in this area of research. It is difficult to incorporate the high-spirit refining materials with mysterious characteristics into the existing theoretical framework, and even if some people propose models that can bring the theory a step further, they cannot explain most of the phenomena and cannot convince people.

In addition, "disorder" itself is a nuisance. In this universe, "order" itself is a structure capable of attracting aura. On the other hand, "disorder" will reduce the ability of matter to couple Reiki. And as I said just now, under the high spirit environment, the action distance of the electroweak interaction will be weakly extended, which will inevitably change the spiritual power and increase the variables.

These are huge difficulties.

And Wang Qi is the last step to break through the two projects of "Anderson localization" and "pan-crystal" in one fell swoop - the predecessors of the Burning Gold Valley have done enough accumulation, but it is difficult for them to come up with a strong model because of the existence of pan-crystal. Wang Qi wants to do these two tasks at once.

As for other important achievements in this field, such as energy bands, semiconductors, low-temperature superconductivity theory, high-temperature superconductivity theory, superfluidity, antiferromagnetism, ferromagnetism, and liquid crystal, either because of theoretical limitations, there are no relevant experiments, or because relevant experiments have been accumulated for a long time, and they are just one theoretical breakthrough away. These things are more appropriate for someone else to complete.

"Based on my long-standing observations of the coagulation process of alloys, we can conclude that disorder leads to localization of electrons. ”

"In the process of electron localization, the law of aura escape presented by refining materials is as follows......

"Based on the above conditions, we can derive the formula for the change of resistance of alloy refining materials......"

"Here, I predict the change in resistivity of several alloy materials......"

After the concept of "electronic localization" was proposed, the remaining labyrinth collapsed, the winding road was opened, and the exit of the maze was close at hand!

"On the premise of electron localization, we can further simplify the arithmetic model of hundreds of known pancrystalline substances......"

“...... The above models can be summarized into the following structures......"

Due to being in a state of self-sealing, and Wang Qi himself did not practice many exercises on the way of physical nature, this time, his body did not change much.

However, as if to confirm his thoughts, the "Treasure Compendium of the Ten Thousand Laws" accepted the instructions in his heart.

Then, all the beast traps in Nanming rioted. The overwhelming black storm roared and rushed towards the place where the Shinto calculator was, and began to condense and gather spontaneously.

By the third day, Wang Qi had already completed the final calculations.

Then it's time to write the paper.

There are three essays - or rather, a complete essay that is broken down into three parts. The first part is the "electron localization" that is reproduced in this aura universe based on his own empirical evidence, the second part is the mathematical model of several pancrystals integrated on the basis of electron localization, and the last part is the content of the pancrystals themselves.

Localization of Electrons under Multiple Scattering

Arithmetic Structures of Several Pancrystalline Substances

"On Several Alloys with Orderliness and Symmetry but No Periodicity" (To be continued. )