PHYSICS · Multi-part · Fermi University Physics · Quantum Mechanics · The formalism of quantum mechanics · The formalism of quantum mechanics
The Structure of Quantum Mechanics, Ch Compatible observables and uncertainty as a theorem
Problem
Consider a hydrogen atom (Coulomb potential, spin-21 electron) in the shell with principal quantum number n=5.
((a)) Give a complete set of commuting observables that uses no spin label, and use it to count how many distinct states share the energy E5.
((b)) Give a complete set of commuting observables once the electron spin is included, and state the new count of states sharing E5.