(Answered) The wave function of a particle ispsix b 1x2 if 1mm le xlt

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The Wave function of a particle is:

ψ(x) = {b/ (1+x2) if 1mm ≤ x< 0mm

= {c(1+x)2 if 0mm≤ x< 1mm

and 0 elsewhere.

a) Assuming that this function is continuous, what can you conclude about the relationship between b and c?

b) Draw graphs of the wave function and the probability density over the interval -2mm <= x <= 2mm.

c) What is the probability that the particle will be found to the right of the origin?

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