Consider a particle in a box of length L with one end coinciding with the origin. Consider the initial state to be given by the wavefunction: ψ(x,0)=Asin2nπx/L for 0≤x≤L/2 and ψ(x,0)=0 for x>L/2. 1. Normalize this wavefunction. 2. Compute the time evolution of this system. 3. Find the probability of measuring Ei at some time t.
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Consider a particle in a box of length L with one end coinciding with the origin. Consider the initial state to be given by the wavefunction: ψ(x,0)=Asin2nπx/L for 0≤x≤L/2 and ψ(x,0)=0 for x>L/2.
1. Normalize this wavefunction.
2. Compute the time evolution of this system.
3. Find the probability of measuring Ei at some time t.
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