# Hermite polynomial and transformation

 P: 369 In the chapter of quantum harmonic oscillator, we use the Hermite polynomial a lot. And the fourier transformation of Hermite polynomial (in wavenumber space) gives $$\mathcal{F} \left\{ \exp (-x^2/2) H_n(x) \right\} = (-i)^n \exp (-k^2/2) H_n(k)$$ Now I need to find the similar result in terms of momentum p, I know the relation between wavenumber and momentum is $$p = \hbar k$$ But I still cannot transform above result to that written in terms of p. Any clue?