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Unformatted text preview: Why? [ h is the Planck constant and the frequency ]. (21 pts) Problem # 3 (24 pts) Identify the unperturbed Hamiltonian H (0) , perturbation H (1) , ground state of unperturbed Hamiltonian (0) and ground state energy of the unperturbed Hamiltonian, E (0) ,for the following problems: 1) A 1D oscillator governed by the potential v(x) = (k/2) x 2 + (g/6)x 3 + (b/24)x 4 (12 pts) 2) A particle constrained to move in one dimension in the region [0,a] with the potential V(x) = 0 for x within 0 and a/2 and V(x) = b for x within a/2 and a. (12 pts) 3) Problem # 4 (10 pts) The term symbol of a certain atom is 3 P : what are the spin, angular and total angular momentum of the atom? Does the atom have a closed shell configuration? (Explain why). Do you expect the state 1 P 0 of the same atom to have higher or lower energy? (Explain why). Hydrogen Atom Radial Schroedinger Equation:...
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