Explain symmetric and antisymmetric function using three identical particles
Answer
Let there is a wave function
ψ(x)\psi(x)ψ(x) .
Now put x=-x
Then this function said to be symmetric as
ψ(−x)=ψ(x)\psi (-x) =\psi (x)ψ(−x)=ψ(x)
Otherwise if
ψ(−x)=−ψ(x)\psi (-x) =-\psi (x)ψ(−x)=−ψ(x)
Then this said to antisymmetric.
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