The semiclassical limit of quantum dynamics
We study the ħ→0 limit of the quantum dynamics determined by the Hamiltonian H(ħ) = -(ħ²/2m)Δ + Ｖ on L²(ℝ<sup>n</sup>) for a large class of potentials. By convolving with certain Gaussian states we obtain classically determined asymptotic behavior of the quantum evolution of states of co...
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| Format: | Others |
| Language: | en_US |
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Virginia Polytechnic Institute and State University
2017
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| Online Access: | http://hdl.handle.net/10919/76489 |