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Multiphoton transitions for the harmonic oscillator

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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 Δ v = n and Δ v = 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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Document Type: Research Article

Affiliations: 1: School of Chemistry, The University of Southampton, Southampton, SO17 1BJ, UK 2: School of Mathematics, The University of Southampton, Southampton, SO17 1BJ, UK

Publication date: August 10, 2006

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