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
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
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.
2005, Vol. 22 
