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Qualitative analysis of the anisotropic Kepler problem

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Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi

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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.

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Tesis Doctorals - Departament - Matemàtica Aplicada i Anàlisi

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Qualitative analysis of the anisotropic Kepler problem