Physics · Quantum Mechanics
Let |m⟩ and |n⟩ denote the energy eigenstates of a one-dimensional simple harmonic oscillator. The position and momentum operators are X̂ and P̂, respectively. The matrix element ⟨m| P̂X̂ |n⟩ is non-zero when:
- 1m = n ± 1 only
- 2m = n ± 3 only
- 3m = n or m = n ± 2✓
- 4m = n ± 2 only
Correct answer
m = n or m = n ± 2
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