2 a determine the adjoint operator to a c id where c and d are real nu
2) a) Determine the adjoint operator to â = c + id, where c and d are real numbers and
i = √-1. Is â Hermitian?
b) If Â is a Hermitian operator, then * Â dx = f(Â) dx for wave functions
and (optional proof available in Moodle in section 2).
Using this relation, show that the eigenfunctions of a Hermitian operator Â are orthogonal
provided that they have different eigenvalues.
Explain the significance of this result.
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