PHYS 3750 Final: PHYS 3750 Final Exam 2004
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No examination aids other than calculators and data provided with this examination script are permitted. Draw a diagram that shows how the degenerated states split when one takes into account the spin-orbit coupling. For each level, indicate the corresponding j quantum number and the degeneracy of the level. Final examination, december 10, 2004 page 2 of 8: probability density. For a hydrogen atom in a state designated by the quantum number n and l, the probability of nding the electron at any location with radial coordinate between r and r + dr is given by. Pnl(r) dr = r nl(r) rnl(r) 4 r2 dr . Knowing that the radial part of the wavefunction for the hydrogen atom in the n = 2, l = 1 state is given by. 6 ao where a is a constant and ao is the bohr radius,
