Semiclassical quantum mechanics |
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Authors: | G. A. Hagedorn |
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Affiliation: | (1) The Rockefeller University, 10021 New York, NY, USA |
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Abstract: | We consider the 0 limit of the quantum dynamics generated by the HamiltonianH()=–(2/2m)+V. We prove that the evolution of certain Gaussian states is determined asymptotically as 0 by classical mechanics. For suitable potentialsV inn3 dimensions, our estimates are uniform in time and our results hold for scattering theory.Supported in part by the National Science Foundation under Grant PHY 78-08066 |
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