Question

How is operator p2=1 in the eigenstate of the symmetric and antisymmetric wavefunctions

Answer 1

Answer

Suppose there is a wave function,

Say $\psi (x)$

This wavefunction said to symmetric only if

$\psi(-x) =\psi(x)$

And said to be antisymmetric only if

$\psi(-x) =-\psi(x)$