b1 (x) = A sin () L
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A particle confined in a one-dimensional box of length L(0<=x<=L) is in a state described by the wavefunction Ψ(x)= Ψ1+ Ψ2(x). Where A and B are constants given by real numbers and A>=0.
(With X=6 and Y=3)
l)Determine what relationship A and B must satisfy for the wavefunction to be normalized.
ll)Suppose that A=B .What is the probability of the particle being found in the interval 0<=x<=L/2?
lll)What values of A and B that minimize the probability of finding the particle in the range of positions 0<=x<=L/2?
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