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Semiclassical limit for the Schroedinger equation with a short scale periodic potential | F. Hoevermann
; H. Spohn
; S. Teufel
; | Date: |
31 Dec 1999 | Journal: | Commun.Math.Phys., Vol. 215, Issue 3, 609-629 (2001). | Subject: | Mathematical Physics | math-ph math.MP | Abstract: | We consider the dynamics generated by the Schroedinger operator $H=-{1/2}Delta + V(x) + W(epsi x)$, where $V$ is a lattice periodic potential and $W$ an external potential which varies slowly on the scale set by the lattice spacing. We prove that in the limit $epsi o 0$ the time dependent position operator and, more generally, semiclassical observables converge strongly to a limit which is determined by the semiclassical dynamics. | Source: | arXiv, math-ph/0001042 | Services: | Forum | Review | PDF | Favorites |
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