A wave function for a free particular particle isgiven by ψ(x) = (α / π)^(1/4)e^{-α[(x-a)^(2)]}/2, where α is a real, positiveconstant.
a) Sketch the probability distribution for thisparticle.
b) What is < x > (show by explicitintegration)?
c) How can I find ψ(x,t)? Explain in words,set up some integrals but don't solve them.