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 |
| Language: | English |
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Universitat de Barcelona
1984
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| Online Access: | http://hdl.handle.net/10803/2111 http://nbn-resolving.de/urn:isbn:9788469143759 |
| 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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