WKB Analysis of Bohmian Dynamics
We consider a semiclassically scaled Schrödinger equation with WKB initial data. We prove that in the classical limit the corresponding Bohmian trajectories converge (locally in measure) to the classical trajectories before the appearance of the first caustic. In a second step we show that after cau...
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| Veröffentlicht in: | Communications on pure and applied mathematics 2014-04, Vol.67 (4), p.581-620 |
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| container_title | Communications on pure and applied mathematics |
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| creator | Figalli, A. Klein, C. Markowich, P. Sparber, C. |
| description | We consider a semiclassically scaled Schrödinger equation with WKB initial data. We prove that in the classical limit the corresponding Bohmian trajectories converge (locally in measure) to the classical trajectories before the appearance of the first caustic. In a second step we show that after caustic onset this convergence in general no longer holds. In addition, we provide numerical simulations of the Bohmian trajectories in the semiclassical regime that illustrate the above results.© 2014 Wiley Periodicals, Inc. |
| doi_str_mv | 10.1002/cpa.21487 |
| format | Article |
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We prove that in the classical limit the corresponding Bohmian trajectories converge (locally in measure) to the classical trajectories before the appearance of the first caustic. In a second step we show that after caustic onset this convergence in general no longer holds. 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| ispartof | Communications on pure and applied mathematics, 2014-04, Vol.67 (4), p.581-620 |
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| language | eng |
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| source | Wiley Online Library Journals Frontfile Complete |
| subjects | Convergence Partial differential equations Simulation |
| title | WKB Analysis of Bohmian Dynamics |
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