QUESTION 1: Hydrogen atom in a general state (ignoring spin):The orthonormal energy eigenstates of the hydrogen atom n,,m are labelled by the principalquantum number n and the orbital angular momentum quantum numbers I and m. In the followingyou may write the energy eigenvalues as En E. The state of a hydrogen atom at time t = 0 isgiven by a linear combination of energy eigenstatesV (√561,0,0 — √342,1,1 + i√3,2,-2) ·(a) Write down the wave function for later times t> 0 assuming the atom is undisturbed.(b) Show that this state is correctly normalised.(c) Find the expectation values of the energy and Îz if the system is in the state V.2²Hint: No integrations needed, just use the known eigenvalues of Un,1,m with respect toand write the energy eigenvalues as En = ₁.n².=and Îz,

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Answered: QUESTION 1: Hydrogen atom in a general…

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