(a) Show that satisfies the time dependent Schrdinger equation for the harmonic oscillator potential (Equation 2 44) Here is any real constant with the dimensions of length (b) Find (x, t) 2 , and describe the motion of the wave packet (c) Compute (x) and (P), and check that Ehrenfests theorem (Equation 1 38) is satisfied 1 p 201 ( x 2 (1 ) the exp 2 m y (x, t) (1751) mo 1 4 jast 2xore

Question: (a) Show that satisfies the time-dependent Schrdinger equation for the harmonic oscillator potential (Equation 2.44). Here is any real constant with the dimensions of length.

(a) Show that

1* p [ 201 ( x + 2 (1 + ) +

satisfies the time-dependent Schrödinger equation for the harmonic oscillator potential (Equation 2.44). Here is any real constant with the dimensions of length.
(b) Find |Ψ (x, t)|², and describe the motion of the wave packet.
(c) Compute (x) and (P), and check that Ehrenfest’s theorem (Equation 1.38) is satisfied.

1* p [ 201 ( x + 2 (1 + ) + the exp 2 m y (x, t) = (1751) mo 1/4 -jast 2xore-

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