A quantum system is described by a wave function (r) being a superposition of two states with different energies E1 and E2: (x) = c191(r)eiEst/h + c2P2(x)e¬iEst/h. where ci 2ic2 and the real functions 91(x) and p2(æ) have the following properties: P3(x)dr = 1, I P1(x)2(x)dr = 0. Calculate: 1. Probabilities of measurement of energies E1 and E2 2. Expectation value of encrgy (E)

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A: The detailed solution is following.