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Kepler Problem in Hamiltonian Formulation Discussed from Topological Viewpoint |
| XU Gong-Ou1,2;XU Ming-Jie3;YANG Ya-Tian4 |
| 1Department of Physics, Nanjing University, Nanjing 210093
2Centre of Theoretical Nuclear Physics, National Laboratory of Heavy-Ion Accelerator, Lanzhou 730000
3Department of Earth Science, Nanjing University, Nanjing 210093
4Department of Physics, Fujian Normal University, Fuzhou 350007 |
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| Cite this article: |
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XU Gong-Ou, XU Ming-Jie, YANG Ya-Tian 2005 Chin. Phys. Lett. 22 1573-1575 |
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Abstract The Kepler problem in Hamiltonian formulation is discussed from a topological viewpoint. Topological properties for a set of cases designated with conserved quantities l,e and E(l,e) (0≤e<1) are expressed with action-angle variables. The involved canonical transformations are all carried out with classical Poisson brackets. Thus it is possible to extend such a formulation to corresponding quantum-mechanical study under quasi-classical conditions.
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| Keywords:
02.40.Yy
45.20.Jj
45.50.Pk
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Published: 01 July 2005
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