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Models describing one- and two-photon transitions for ions in crystallineenvironments are unified and extended to the case of parity-allowed and parity-forbidden p-photon transitions. The number of independent parameters forcharacterizing the polarization dependence is shown to depend on an ensemble ofproperties and rules which combine symmetry considerations and physical models.Comment: 16 pages, Tex fil

Sum rules for multi-photon spectroscopy of ions in finite symmetry