Course Solutions Uncategorized (Solved) : 3 Consider Particle Infinite Square Well Length Described Wavefunction Super Show 2 Norma Q33345751 . . . .

(Solved) : 3 Consider Particle Infinite Square Well Length Described Wavefunction Super Show 2 Norma Q33345751 . . . .

 

Consider a particle in an infinite square3. Consider a particle in an infinite square well of length I described by a wavefunction that is a super- a. Show that if ψι and ψ 2 are normali cd, C-1/V and detrmine the total time-dependent wave b. Show that this is not a stationary state, but rather is a superposition of energy states with an position of the n ::: 1 and n : 2 energy states: Ψ(z,0-C(ψί (z) t Pell)) function Ψ(z,1) average energy of 《E)-1 (Ect E). (llint: A stationary state will obey the eigenvalue equation c. Show that on average particle oscillates about the middle of the box as Fo t Acos Ω) where ro.= 1./2. A--. 161./(9m2) and Ω . (E2 E1)/h. Explain what this might have to do with the quantum particle and an cl3.

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