Solving the Radial Function of the Hydrogen Atom with Python and the Shooting Method
Dot Physics
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Solving the Radial Function of the Hydrogen Atom with Python and the Shooting Method
2 766 просмотров · 2 года назад
Dot Physics
60,6 тыс. подписчиков
2 766 просмотров · 2 года назад
Solving the Schrödinger equation for the hydrogen atom - but not really. This goes through just the radial solution. Once we get a differential equation, we can solve it numerically with the shooting method and python.
Here is the code
https://trinket.io/glowscript/d6763861c3
Solving the square well with the shooting method
• 1D Square Well with Step Potential - Shoot...
00:00 - Intro
01:51 - Schrödinger equation
02:57 - Spherical Laplacian
06:48 - Solving time function
07:40 - Solving Space function
11:18 - Solving the R function
15:08 - Shooting method
19:48 - Hydrogen Atom
22:03 - Python code