For a given state | V) and Hermitian operators A, B, (a) prove that...

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For a given state | V) and Hermitian operators A, B, (a) prove that AAVI), where we used the same notation in class for the expectation and tha variance of the operator A, and I 1) is some state orthogonal to (v) (b) Use this results to rederive then (square root of the) general uncertainty relation we derived in class, 1 ^AAB > .

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