The chapter finds by writing in terms of ladder operators and keeping only the terms…
PHYSICS · Subjective · Fermi University Physics · Quantum Mechanics · Wave mechanics in one dimension · The formalism of quantum mechanics
Quantum Mechanics: From the Photon to the Hydrogen Atom, Ch The harmonic oscillator
Problem
The chapter finds ⟨x2⟩n by writing x^2 in terms of ladder operators and keeping only the terms that return the state to level n. Extend the same method to find ⟨x4⟩n, and evaluate it for n=3, the same level used in the chapter's worked example.