Please use this identifier to cite or link to this item:
https://hdl.handle.net/10216/93758
Author(s): | C. A. A. de Carvalho M. M. Peixoto D. Pinheiro A. A. Pinto |
Title: | Focal decomposition, renormalization and semiclassical physics |
Issue Date: | 2011 |
Abstract: | We review some recent results concerning a connection between focal decomposition, renormalization and semiclassical physics. The dynamical behaviour of a family of mechanical systems which includes the pendulum at small neighbourhoods of the equilibrium but after long intervals of time can be characterized through a renormalization scheme acting on the dynamics of this family. We have proved that the asymptotic limit of this renormalization scheme is universal: it is the same for all the elements in the considered class of mechanical systems. As a consequence, we have obtained an asymptotic universal focal decomposition for this family of mechanical systems which can now be used to compute estimates for propagators in semiclassical physics. |
Subject: | Matemática Mathematics |
Scientific areas: | Ciências exactas e naturais::Matemática Natural sciences::Mathematics |
URI: | https://hdl.handle.net/10216/93758 |
Document Type: | Artigo em Revista Científica Internacional |
Rights: | restrictedAccess |
Appears in Collections: | FCUP - Artigo em Revista Científica Internacional |
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File | Description | Size | Format | |
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48972.pdf Restricted Access | 236.74 kB | Adobe PDF | Request a copy from the Author(s) |
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