Question: 5. Using the raising and lowering operators for the harmonic oscillator prove the following: (a) n=n!(a^)n0. (b) For =1,nx^2n=(n+21) and np^2n=(n+21)

5. Using the raising and lowering operators for the harmonic oscillator

5. Using the raising and lowering operators for the harmonic oscillator prove the following: (a) n=n!(a^)n0. (b) For =1,nx^2n=(n+21) and np^2n=(n+21)

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