# I Odd/even symmetric/antisymmetric

1. Feb 2, 2017

### dyn

Hi
Are odd/even wavefunctions the same as symmetric/antisymmetric wavefunctions ?
I have seen symmetric/antisymmetric applied to 2 identical particles but is this the same as the odd/even wavefunctions for example applied to a single particle in an infinite well ?
Thanks

2. Feb 2, 2017

### Fightfish

In the context that they are usually used, no.
Odd / even typically refer to the spatial symmetry of the wavefunction, whereas the notion of symmetric and antisymmetric states applied to identical particle systems refer to the exchange symmetry of the particles.

Odd / Even: $\psi(x) = \pm \psi(-x)$
Symmetric / Antisymmetric: $\psi(x_1, x_2) = \pm \psi(x_2, x_1)$