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&rsquo;s great because it&rsquo;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&rsquo;s true that we can find a solution to the wave function &mdash; 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&rsquo;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>
Tags: Hydrogen ATOM