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- Homework Statement
- The problem was to show that given φ(p), and wave function Ψ(r), prove that <p>= ∫φ(p)*pφ(p)dp and <p²>=∫φ(p)*p²φ(p)dp

- Relevant Equations
- Ψ(r)=1/2πℏ ∫ φ(p)exp(ipr/ℏ)dp

<p>=∫Ψ(r)*pΨ(r)dr

so from Fourier transform we know that

Ψ(r)=1/2πℏ∫φ(p)exp(ipr/ℏ)dp

I proved that <p>= ∫φ(p)*pφ(p)dp from <p>=∫Ψ(r)*pΨ(r)dr

so will the same hold any operator??

Ψ(r)=1/2πℏ∫φ(p)exp(ipr/ℏ)dp

I proved that <p>= ∫φ(p)*pφ(p)dp from <p>=∫Ψ(r)*pΨ(r)dr

so will the same hold any operator??