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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
Scientific areas: Ciências exactas e naturais::Matemática
Natural sciences::Mathematics
Document Type: Artigo em Revista Científica Internacional
Rights: restrictedAccess
Appears in Collections:FCUP - Artigo em Revista Científica Internacional

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