PHYSICS · Subjective · Fermi University Physics · Quantum Mechanics · Atomic, Molecular & Optical Physics · One-electron atoms and the origins of atomic structure
Reading the Spectrum, Ch The Coulomb spectrum from wave mechanics: quantum numbers and degeneracy
Problem
For hydrogen with l=0, a trial energy of exactly E=−13.6eV/9 (about −1.511eV) is substituted into the radial equation and the solution u(r) that vanishes at r=0 is followed out to large r. Predict what u(r) does as r→∞, and explain why, given that hydrogen's l=0 energies are En=−13.6eV/n2 (n=1,2,3,…).