59 citations · 266 across the 25 of their papers we have counts for
20 papers · 1 filter
The classical dynamic symmetry for the -Kepler problems
Sofiane Bouarroudj, Guowu Meng
A Poisson realization of the simple real Lie algebra on the phase space of each -Kepler problem is exhibited. As a consequence one obtains t…
On the trajectories of O(1)-Kepler Problems
Guowu Meng
The trajectories of the -Kepler problem at level are completely determined. It is found in particular that a non-colliding trajectory is an ellipse, a parab…
Tulczyjew's Approach for Particles in Gauge Fields
Guowu Meng
Around mid-1970s W. M. Tulczyjew discovered an approach which brings the two formalisms under a common geometric roof: the dynamics of a particle with configuration space is de…
On the Orbits of the Magnetized Kepler Problems in Dimension 2k+1
Zhanqiang Bai, Guowu Meng, Erxiao Wang
It is demonstrated that, for the recently introduced classical magnetized Kepler problems in dimension , the non-colliding orbits in the "external configuration space" $\math…
The Poisson Realization of so(2, 2k+2) on Magnetic Leaves
Guowu Meng
Let () and : be the map sending t…
Lorentz Group and Oriented MICZ-Kepler Orbits
Guowu Meng
The MICZ-Kepler orbits are the non-colliding orbits of the MICZ Kepler problems (the magnetized versions of the Kepler problem). The oriented MICZ-Kepler orbits can be parametrized…