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http://hdl.handle.net/2445/42089
Title: | Qualitative analysis of the anisotropic Kepler problem |
Author: | Casasayas, Josefina |
Director/Tutor: | Llibre, Jaume |
Keywords: | Mecànica celeste Equacions diferencials Sistemes dinàmics diferenciables Celestial mechanics Differential equations Differentiable dynamical systems |
Issue Date: | 1-Jan-1984 |
Publisher: | Universitat de Barcelona |
Abstract: | The anisotropic Kepler problem was introduced by Gutzwiller as a classical mechanical system which approximates the following quantum mechanical system: the study of bound states of an electron near a donor impurity of a semiconductor. As it is known the anisotropic Kepler problem exhibits many qualitative phenomena of interest in the theory of differential equations such as non-integrability and chaotic behaviour. This paper is essentially devoted to the qualitative analysis of this problem, and also surveys the recent techniques and results from it. |
URI: | http://hdl.handle.net/2445/42089 |
ISBN: | 9788469143759 |
Appears in Collections: | Tesis Doctorals - Departament - Matemàtica Aplicada i Anàlisi |
Files in This Item:
File | Description | Size | Format | |
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01.JCM_THESIS.pdf | 4.87 MB | Adobe PDF | View/Open |
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