1. The problem statement, all variables and given/known data Normalised energy eigenfunction for ground state of a harmonic oscillator in one dimension is: 〈x|n〉=α^(1/2)/π^(1/4) exp(-□(1/2) α^2 x^2) n = 0 α^2=mω/h suppose now that the oscillator is prepared in the state: 〈x|ψ〉=σ^(1/2)/π^(1/4) exp(-(1/2) σ^2 x^2) What is the probability that a measurement of the energy gives the result E_0 = 1/2 hω? 2. Relevant equations 3. The attempt at a solution I squared both states as that is the probability of the states, but I cannot see where the energy eigenvalue would fit into it. It probably something glaringly obvious, but I haven't done this in a long time and certainly not with dirac notation. Please help.