Mar 2, 2019

The Schrödinger Equation for the Hydrogen Atom: A generalization

This is a two-body problem (diatomic molecule) and formulation of the problem is possible:

https://chem.libretexts.org/Courses/University_of_California_Davis/UCD_Chem_110A%3A_Physical_Chemistry_I/Text/06%3A_The_Hydrogen_Atom/6.01%3A_The_Schrodinger_Equation_for_the_Hydrogen_Atom_Can_Be_Solved_Exactly

And its solution is using Spherical Harmonics:

http://mathworld.wolfram.com/SphericalHarmonic.html

So how about 3-body, or n-body system?

How complexity creeps in arising from n-bodies to n-1 bodies interaction?


https://www.youtube.com/watch?v=09iTidqkriw  (very good video on the history)

and the github for the codes mentioned above is here:

https://github.com/winsmith/n-body-problem

Complex, but simulation is possible:

https://jheer.github.io/barnes-hut/  (this is interactive)




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