Use the harmonic oscillator eigenfunction shown above and its expression in terms of the hermite polynomials
= \small \psin(ξ) = (1/2nn! \small \sqrt{\pi })1/2hn(ξ)e-\small \xi ^{2}/2
to derive the recursion relation of the hermite polynomials hn+1 = 2ξhn − 2nhn-1
hint: consider using ladder operators to convert between adjacent states
any would be appreciated!