The half harmonic oscillator's ground state wave function

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  • #1
Apashanka
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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
 

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  • #2
kuruman
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Some functions have even parity, some have odd parity and some have none. Which do you think this is?
 
  • #3
hilbert2
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In an asymmetric potential well, the stationary state wavefunctions don't need to have a symmetry about the origin or any other point.
 

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