Theory of the Hydrogen Atom ━━━━━━━━━━━━━━━━━━━━━━━━━━━━ Derived from first principles the wave equation of an electron in the hydrogen atom. -Start with Dirac Notation - Replace with known general functions - transform to eigenvalue equation in position space - replace pieces with function F and find derivatives F = ∑ Cₖρᵏ pic 3 first take had factors that needed to be fixed - Led to the Laguerre Polynomials These are infinite, though, so - Force Laguerre Polynomial solutions to truncate -