Intertwining symmetry algebras of quantum superintegrable systems.
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SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Calzada, Juan A., Negro, Javier, del Olmo, Mariano A. (2009)
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SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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We explain why the conventional argument for deriving the time-dependent Born-Oppenheimer approximation is incomplete and review recent mathematical results, which clarify the situation and at the same time provide a systematic scheme for higher order corrections. We also present a new elementary derivation of the correct second-order time-dependent Born-Oppenheimer approximation and discuss as applications the dynamics near a conical intersection of potential surfaces and reactive...
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