# Hermite representation for integrals?

1. Aug 4, 2014

### Mniazi

Suppose I want an expectation value of a harmonic oscillator wavefunction, then in what way will I write the Hermite polynomial of nth degree into the integral? I have a link of the representation, but dont know what to do with them? http://dlmf.nist.gov/18.3

2. Aug 4, 2014

### dextercioby

Why do you need the explicit form inside the integral? Leaving just H_n (x) is more than enough.

3. Aug 4, 2014

4. Aug 5, 2014

5. Aug 8, 2014

### Mniazi

ok If I have a integral like $$\int_{-\inf}^{\inf}{z*x*y}$$

then can I write them seperately as:

$$\int_{-\inf}^{\inf}{z}*\int_{-\inf}^{\inf}{x}*\int_{-\inf}^{\inf}{y}$$