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Unformatted text preview: H r |U n >=E n |U n > , where ) ( 2 ) ( 2 2 2 r V dr d m H eff op r + = h Hydrogen Atom: The energy levels and wave functions of the hydrogen atom are calculated by setting V(r) equal to the Coulomb potential r Ke r V Coulomb 2 ) ( = . The resulting energy levels are ) ( 2 1 2 2 2 c m n E e n = , where n is the principle quantum number. The states are specified by the three quantum numbers n , l , and m . Quantum Number Allowed Values Specifies n 1, 2, 3, . .. Energy Level Radial Wavefunction l 0, 1, 2, . .., (n-1) L 2 (length of the angular momentum vector) m -l, -l+1,. .., l L z (component of the angular momentum in the z-direction)...
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- Spring '07