Using the rules of bra-ket algebra, prove or evaluate the following: (a) tr(XY) = tr(Y X), where
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Using the rules of bra-ket algebra, prove or evaluate the following:
(a) tr(XY) = tr(Y X), where X and Y are operators.
(b) (XY)† = Y† X†, where X and Y are operators.
(c) exp[if(A)] =? in ket-bra form, where A is a Hermitian operator whose eigenvalues are known.
(d)
Transcribed Image Text:
Σa (x) (x"), where a'(x) = (x'la').
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Sure lets go through each part one by one a Proof of trXY trYX In order to prove this we need to use the properties of the trace operation and the commutation of operators The trace of an operator is ...View the full answer
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