Poisson's Equation
"you should know that Laplace's Equation has a close cousin called the Biharmonic Equation...
Which is widely used in modeling quantum mechanics. "<p>Can someone elaborate on that? The Wikipedia article (<a href="https://en.wikipedia.org/wiki/Biharmonic_equation" rel="nofollow">https://en.wikipedia.org/wiki/Biharmonic_equation</a>) does not mention anything about quantum mechanics use cases for the biharmonic equation.