Nabin Yadav posted an Question
May 15, 2021 • 23:26 pm 30 points
  • IIT JAM
  • Physics (PH)

Exercise 4.9 consider a system whose wave function at timet = 0 is given by 4 3 (x, 0)= or) + r)+ ), where o (x) is the wave function of the nth excited state f

Exercise 4.9 Consider a system whose wave function at timet = 0 is given by 4 3 (x, 0)= or) + r)+ ), where o (x) is the wave function of the nth excited state for a harmonic oscillator of energy En = ho(n + 1/2). (a) Find the average energy of this system. (b) Find the state (x, t) at a later timet and the average value of the energy; compare the result with the value obtained in (a). (c)Find the expectation value of the operator X with respect to the state w (x, t) (1.e., find (x, 1)|Xy(x, )).

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