Simon, Barry (1990) Absence of Ballistic Motion. Communications in Mathematical Physics, 134 (1). pp. 209-212. ISSN 0010-3616. doi:10.1007/BF02102095. https://resolver.caltech.edu/CaltechAUTHORS:20180315-132837134
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Abstract
For large classes of Schrödinger operators and Jacobi matrices we prove that if h has only one point spectrum then for φ_0 of compact support lim/_(t→∞)^(t−2)∥xe^(−ith)ϕ_0∥^2 = 0.
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| Additional Information: | © 1990 Springer-Verlag. Received February 20, 1990. Research partially supported by NSF grant number DMS-8801918 Communicated by T. Spencer. | ||||||||||||||||||
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| Subject Keywords: | Neural Network; Statistical Physic; Complex System; Nonlinear Dynamics; Large Classis | ||||||||||||||||||
| Issue or Number: | 1 | ||||||||||||||||||
| DOI: | 10.1007/BF02102095 | ||||||||||||||||||
| Record Number: | CaltechAUTHORS:20180315-132837134 | ||||||||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20180315-132837134 | ||||||||||||||||||
| Official Citation: | Cite this article as: Simon, B. Commun.Math. Phys. (1990) 134: 209. https://doi.org/10.1007/BF02102095 | ||||||||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||||||||
| ID Code: | 85336 | ||||||||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||||||||
| Deposited By: | Ruth Sustaita | ||||||||||||||||||
| Deposited On: | 16 Mar 2018 14:47 | ||||||||||||||||||
| Last Modified: | 15 Nov 2021 20:27 |
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