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?