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A quantum system described by a Hamiltonian H is in the state 14 ) = N V2 $1) V2 ($2 ) + V5 (1 +

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A quantum system described by a Hamiltonian H is in the state 14 ) = N V2 $1) V2 ($2 ) + V5 (1 + 21) 143) + V5194)|, where lon) are the eigenstates of energy such that HIon) = nEoldn), Eo has units of energy, and NER. (c) What is the expectation value of the energy when the system is in the state ly)? Is it a possible measurement result if the energy is measured? (d) Consider an operator X, the action of which on |on) (n = 1, 2, 3, 4) is defined by Xlon) = (n + 5)xoldn), where xo is a real-valued scalar. Suppose that a measurement of the energy of the above-defined ly) yields 3E. Assume that immediately afterwards, we ideally measure the physical quantity correspond- ing to X. What is the value for the quantity obtained in the latter measurement

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