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Question: note please explain the details and calculations along the way...

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Opg 3 The movement of an electron inside a hydrogen atom is described by the Hamiltonian operator h2 e2 1 where me is the mass of the electron and r is the distance between the electron and the proton, We use the notation ψη1m for the eigen states with main quantum number n, angular momentum quantum number, and magnetic quantum number m. Spin is neglected. Throughout the whole exercise we only consider the subspace with main quantum number n 2, described by the base (200, 211,V210, V21-1 At some time, the wavefunction in this basis is given by 4i where N is a positive constant. The hydrogen atom is now exposed to a perturbation H = a(4 + 4), where α is a positive constant. Use 1.-order perturbation theory to find the energy shifts on the subspace with main quantum number n 2, and find the corresponding eigenfunctions. Hint: express H by L2 and L d)

NOTE: Please explain the details and calculations along the way.

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