# The half harmonic oscillator's ground state wave function

• A
For the half harmonic oscillator the ground state wave function is of the form x*exp(-x^2/2)
But sir how to check it's parity and with respect to with point
As this function is valid for positive x only
Thank you

## Answers and Replies

kuruman
Science Advisor
Homework Helper
Gold Member
Some functions have even parity, some have odd parity and some have none. Which do you think this is?

hilbert2
Science Advisor
Gold Member
In an asymmetric potential well, the stationary state wavefunctions don't need to have a symmetry about the origin or any other point.