Calculation of single-beam two-photon absorption transition rate of rare-earth ions using effective operator and diagrammatic representation

Details Calculation of single-beam two-photon absorption transition rate of rare-earth ions using effective operator and diagrammatic representation Calculation of single-beam two-photon absorption transition rate of rare-earth ions using effective operator and diagrammatic representation

2005-05-24

arxiv.org/abs/physics/0505162v1

Physics

Chemical Physics

10 preprint pages, to appear in Journal of Alloys and Compounds

Scientific paper

10.1016/j.jallcom.2005.01.095

Effective operators needed in single-beam two-photon transition calculations have been represented with modified Goldstone diagrams similar to the type suggested by Duan and co-workers [J. Chem. Phys. 121, 5071 (2004) ]. The rules to evaluate these diagrams are different from those for effective Hamiltonian and one-photon transition operators. It is verified that the perturbation terms considered contain only connected diagrams and the evaluation rules are simplified and given explicitly.

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