3. [25pt] Simple harmonic oscillator 2 Consider a one-dimensional SHO H = p. 1 -mor 2m 2 +- At FO, the SHO is in the sta

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3 25pt Simple Harmonic Oscillator 2 Consider A One Dimensional Sho H P 1 Mor 2m 2 At Fo The Sho Is In The Sta 1 (53.91 KiB) Viewed 23 times

3. [25pt] Simple harmonic oscillator 2 Consider a one-dimensional SHO H = p. 1 -mor 2m 2 +- At FO, the SHO is in the state IX | a) = exp |0), where [0) is the ground state of the SHO, x is the position operator, and E is a ħ constant. (a) [6pt] Calculate (x) and (p) for a later time t>0. (b) [10pt] Calculate (x?) and (p?) for a later time t>0. (c) [9pt] Obtain |a,to = 0;t = 1/0). Simplify your answer as much as possible. =