Qualitative analysis of the anisotropic Kepler problem
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 qual...
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| Format: | doctoral thesis |
| Status: | Published version |
| Publication Date: | 1984 |
| Country: | España |
| Institution: | Universidad de Barcelona |
| Repository: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/42089 |
| Online Access: | https://hdl.handle.net/2445/42089 http://www.tdx.cat/TDX-0509108-120618 http://hdl.handle.net/10803/2111 |
| Access Level: | Open access |
| Keyword: | Mecànica celeste Equacions diferencials Sistemes dinàmics diferenciables Celestial mechanics Differential equations Differentiable dynamical systems |
| Summary: | 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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