The He ion (a single electron bound to a nucleus of charge ) is a hydrogen-like system
PHYSICS · Multi-part · Fermi University Physics · Quantum Mechanics · Central potentials and canonical three-dimensional systems · Central potentials and canonical three-dimensional systems
The Structure of Quantum Mechanics, Ch Hydrogen, and the symmetry that explains it
Problem
The He+ ion (a single electron bound to a nucleus of charge Z=2) is a hydrogen-like system, so the SO(4) result En=−13.606eVZ2/n2 and the n2-fold spatial degeneracy apply directly with Z=2.
((a)) Find E3 for He+.
((b)) State the spatial degeneracy of this level and the allowed values of l, and check that the count of states matches n2.