A Modern Approach to Quantum Mechanics · Problem 7.1
Path Integrals — John S. Townsend
Physics — Quantum Mechanics · harmonic-oscillator-ladder-operators
Problem
Show that the constant c−=n in (7.24), that is,
a^∣n⟩=n∣n−1⟩
using the procedure we used to establish that c+=n+1, that is,
a^†∣n⟩=n+1∣n+1⟩
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