Question: a. Using prove b. Consider a one-dimensional simple harmonic oscillator. Starting with the Schrodinger equation for the state vector, derive the Schrodinger equation for the

a. Using prove

(x1p') = (27h)ep'x'/A (one dimension) (p'lxla) = ih :(Pla). ap'

b. Consider a one-dimensional simple harmonic oscillator. Starting with the Schrodinger equation for the state vector, derive the Schrodinger equation for the momentum-space wave function. (Make sure to distinguish the operator p from the eigenvalue p?.) Can you guess the energy Eigen functions in momentum space?

(x1p') = (27h)ep'x'/A (one dimension) (p'lxla) = ih :(Pla). ap'

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