In Weird Al Yankovic's music video "White and Nerdy" (1:20-1:36), there are flashes of a partial differential equation:
$$\left(-\frac{h^2}{2\mu}\nabla^2 - \frac{e^2}{r}\right)\psi(r)=E\psi(r)$$
Does anyone know what the name of this equation is?
2026-03-25 01:21:27.1774401687
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Weird Al Yankovic's Partial Differential Equation
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It's Schroedinger's equation for the Hydrogen atom with units chosen so that $4 \pi \epsilon_0 = 1$. See "Hydrogen atom" at the English Wikipedia's article on the Schrodinger Equation.
This is the time independent Schrodinger equation for two elementary charges with a Coulomb interaction.