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Homework Statement
The operator F is defined by Fψ(x)=ψ(x+a) + ψ(x-a), where a is a nonzero constant. Determine whether or not F is a Hermitian operator.
Homework Equations
∫(x+a)d/dx + (x-a)d/dxψ
The Attempt at a Solution
f = (1=ax) + (1-ax)ψ
What are the steps I need to do to figure this out. Thanks.