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In the dirac notation for a quantum state of a system, an eigenstate wave function un is replaced by the vector |n>, and a general state wave function ψ by |ψ>.
a) Translate the following mathematical statements to the corresponding forms n wave mechanics: i) <n|m> = δnm, and ii) <n|A|m> = (<m|A|n>)*, where A is an hermitian operator.
b) By considering the expansion of |ψ> in terms of |n>, derive the following result which expresses the completeness property of the set of eigenstates.
∑|n><n|= 1.
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