1.15 For a particle with unit mass (m = 1) confined in a box of unit length 1 = 1, its wavefunction is given by 4 (x) =
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1.15 For a particle with unit mass (m = 1) confined in a box of unit length 1 = 1, its wavefunction is given by 4 (x) =
1.15 For a particle with unit mass (m = 1) confined in a box of unit length 1 = 1, its wavefunction is given by 4 (x) = V2 for 1/4 <x< 3/4 and zero otherwise. Answer the following questions. (a) Determine the expectation value of the energy for this particle. (b) Calculate the probability for the particle to have energy h>r</2. (c) Calculate the probability for the particle to have energy 2h²r?. (d) Calculate the uncertainty in the position of the particle. What is the expected minimum of the uncertainty in the momentum of this particle?
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