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Using the rules of bra-ket algebra, prove or evaluate the following: a. tr(X Y)=tr(Y X), where X and Y are operators; b. (X Y)^†=Y^† X^†, where X and Y are operators; c. [i f(A)]=? in ket-brã form, where A is a Hermitian operátor whose eigenvalues are known; d. ∑a^' ψa^'^*(𝐱^') ψa^'(𝐱^''), where ψa^'(𝐱^')=⟨𝐱^' |a^'⟩. | Numerade
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