Orion Crest, Series_1

Chapter 191: The Dawn of Victory

　　Inspiration is elusive.

　　Just as it comes without notice, it often goes without any warning.

　　At the moment, Orion didn't want to waste a second.

　　Walking inside the nearest library and sitting down, he placed the pen and paper he had bought from the shop on the table and made all the preparations before starting his work.

　　Of the twenty or so libraries at Columbia, this one was open 24 hours a day and offered cheap and tasty sandwiches as well as coffee in the lounge area.

　　Here, he could stay as long as he wanted without worrying about his thoughts being interrupted.

　　Closing his eyes, Orion worked out the equations he had written earlier in his head.

　　There was no such thing as simply forgetting something you had researched. Even if the information wasn't at hand, he was able to deduce it on the spot, following the logic he had used.

　　It wouldn't take much time.

　　And with this opportunity, Orion could just as well integrate new thinking into the theory as he reconstructed it ......

　　"The total wave function within a system with N electrons can be written as the product of the wave functions of all the single electrons ......"

　　Muttering under his breath, Orion writes the first line of the equation on a piece of paper.

　　[Ψ(r1, r2......rn) = ∏Ψt(rt)].

　　Not stopping there, the tip of the pen quickly moved to the next line.

　　"Then, introduce the Hartree equation!"

　　Orion's voice gradually took on a hint of excitement.

　　Although it was only the first step.

　　But at this moment in front of his eyes, it was as if he had already seen the dawn of victory.

　　[{pi squared/2m+V(ri)+1/4πε0∑∫drf|Ψj(rj)|squared e squared/|ri-rj|}Ψi(ri)=EiΨi(ri)]

　　[......]

　　When inspiration comes, the thoughts pour out and cannot be stopped.

　　The tip of the pen jumped on the paper, faster and faster, more and more sharply.

　　As the lines of arithmetic leapt onto the paper, the theoretical model that gradually shaped itself was like a spider's web compiled by logic.

　　Under the structure established by this large network, all the tedious and complicated theories were included, and all the collisions between particles, the interactions between electrons, and even all the changes that could be taken into account at the microscopic level were abstracted into the language of mathematics, and described using mathematical methods.

　　"This line of thought works!"

　　"Instead of trying to explain and describe the wave function of the system for the motion of each particle, we only need to try to find the spatial wave function for the density of particles with only 3 variables ......"

　　"When all the particles in the system can be calculated, the physical properties of the material can be expected!"

　　"Even if only to a limited range!"

　　Whispering to himself, the light flickering in Orion's pupils grew brighter and brighter.

　　The pen gripped in his fingertips was like a sharp sword, piercing the darkness that no one had ever peered into and dispelling the confusion that surrounded the truth.