Multiphoton transitions for the harmonic oscillator |
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| Authors: | J. G. Frey R. C. King |
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| Affiliation: | 1. School of Chemistry , The University of Southampton , Southampton, SO17 1BJ, UK;2. School of Mathematics , The University of Southampton , Southampton, SO17 1BJ, UK |
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| Abstract: | 2- and 3-photon electric dipole transitions for the harmonic oscillator are shown to have zero intensity. This is extended to the general cases of Δv?=?n and Δv?=?n???2 for n-photon transitions. Although not proved in general, it seems likely that all multiphoton transition moments vanish. This suggests that electric dipole multiphoton transition intensity is due to anharmonicity. |
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