Does Parity Operator Squared Equal Identity Operator?

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UrbanXrisis
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just wondering... does the parity operator squared give the identity operator?
 
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What, exactly, is the definition of the "parity operator"?
 
what would happen if you take a wave function Psi and apply the Parity operator twice?
try it
 
hehe... so it WOULD be an like the identity operator
 
Oh. I thought this was a MATH problem!