Question: Exercise4.9 Considerasystemwhosewavefunctionattimet 0isgivenby Ox 05500 x 4501 x 3502 x where n x isthewavefunctionof thenthexcitedstateforaharmonicoscillatorofenergy En h n 12.(a)Findtheaverageenergyofthissystem.(b)Findthestate Ox t atalatertimetandtheaveragevalueoftheenergy;comparethe resultwiththevalueobtainedin(a).(c)FindtheexpectationvalueoftheoperatorXwithrespect tothestate Ox

Exercise4.9 Considerasystemwhosewavefunctionattimet 0isgivenby Ox 05500 x 4501 x 3502 x where n x isthewavefunctionof thenthexcitedstateforaharmonicoscillatorofenergy En h n 12.(a)Findtheaverageenergyofthissystem.(b)Findthestate Ox t atalatertimetandtheaveragevalueoftheenergy;comparethe resultwiththevalueobtainedin(a).(c)FindtheexpectationvalueoftheoperatorXwithrespect tothestate Ox t (i.e.,find Ox t X Ox t ).

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