Virginia TechRobinson, Sam Leslie2014-04-092014-04-091988-02Robinson, S. L., "The semiclassical limit of quantum dynamics. I. Time evolution," J. Math. Phys. 29, 412 (1988); http://dx.doi.org/10.1063/1.5280290022-2488http://hdl.handle.net/10919/47092The ℏ→0 limit of the quantum dynamics determined by the Hamiltonian H(ℏ) =−(ℏ²/2m)Δ+V on L²(Rⁿ) is studied for a large class of potentials. By convolving with certain Gaussian states, classically determined asymptotic behavior of the quantum evolution of states of compact support is obtained. For initial states of class C¹/₀ the error terms are shown to have L² norms of order ℏ^1/2−ε for arbitrarily small positive ε.en-USIn CopyrightArticle - Refereedhttp://scitation.aip.org/content/aip/journal/jmp/29/2/10.1063/1.528029https://doi.org/10.1063/1.528029