1. The problem statement, all variables and given/known data Write down the v=1 eigenfunction for the harmonic oscillator. Substitute this eigenfunction into the Schrodinger equation and show that the eigenvalue is (3/2)hν. 2. Relevant equations 3. The attempt at a solution I'm not really sure on how to to this, but heres what I did... The wavefunction of an oscillator is ψv(x) = NvHv(y)e−y2/2. For V = 1, Hv(y) = 2y. ψv(x) = Nv(2y)e−y2/2. Then I normalized it by squaring it and finding out what N is. I tried plugging in the schrodinger's equation but it doesn't work. What am I doing wrong?