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hope you can help me 2. A system is initially in the state wo) = [v2 |91) + v3 192) + 193) + ly)]/v7, where

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2. A system is initially in the state wo) = [v2 |91) + v3 192) + 193) + ly)]/v7, where 19n) are eigenstates of the system's Hamiltonian such that HIQ,) = n2819n). a.) If energy is measured, what values will be obtained and with what probabilities? b.) Consider an operator A whose action on |4,) is defined by AlQ,) = (n + 1)aolQn). If A is measured, what values will be obtained and with what probabilities? c.) Suppose that a measurement of the energy yields 480. If we measure A immediately afterwards, what value will be obtained? 3. Consider a physical system whose Hamiltonian H and initial state |, ) are given by 1- i H = E hypo) = V5 1-i C 1 where & has the dimensions of energy. a.) What values will we obtain when measuring the energy and with what probabilities? b.) Calculate (H), the expectation value of the Hamiltonian

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