Solving the Radial Function of the Hydrogen Atom with Python
<p>The best thing in a quantum mechanics course is solving for the wave function of a hydrogen atom. It’s great because it’s possible to get an analytical solution to this problem in terms of some functions. For all the other atoms, we have to cheat or make some approximations. Historically, this is a big deal.</p>
<p>The worst thing in a quantum mechanics course is ALSO the hydrogen atom. Yes, it’s true that we can find a solution to the wave function — but we have to use spherical coordinates and things get messy.</p>
<p>Honestly, I think that in an undergraduate course the full solution is a little bit too much. However, it’s possible to get a differential equation for just the radial part of this function and then solve this equation using python and the shooting method.</p>
<p><a href="https://rjallain.medium.com/solving-the-radial-function-of-the-hydrogen-atom-with-python-75372f5440a8"><strong>Click Here</strong></a></p>