For 10 points, name these statements from quantum mechanics that disallow certain electronic transitions.
An extension to these statements was posited by Wick, Wightman, and Wigner to include local fluctuations, and those extensions to these can be used to divide infinite magnetic systems into namesake sectors. These statements are used to distinguish the dotted lines from the solid lines in a Tanabe-Sugano diagram. The derivation of one example of these depends on whether the dipole, quadrupole, or other multiple approximation is used. A general method for deriving these statements is to find where the integral of psi-sub-one-star times mu times psi-sub-two is nonzero. These statements can help find the relative intensities of peaks in (*) UV/vis spectroscopy. Vibrionic coupling and the Jahn-Teller effect allows for the violation of one of these which applies to processes that alter the symmetry around an inversion center. Another one of these states that triplet states and singlet states don't mix. For the rigid rotor, one of these states that the rotational quantum number can only change by 1, and forbidden mechanisms have a low probability because they violate these. For 10 points, name these statements from quantum mechanics that disallow certain electronic transitions.
An extension to these statements was posited by Wick, Wightman, and Wigner to include local fluctuations, and those extensions to these can be used to divide infinite magnetic systems into namesake sectors.
selection rule [accept superselection rule, prompt on “rule”]