Hamiltonian reduction of free particle motion on group SL(2, ${\Bbb R}$)
| dc.creator | Razumov, A. V. | |
| dc.creator | Yasnov, V. I. | |
| dc.date | 1996-09-03 | |
| dc.date.accessioned | 2026-07-07T11:14:50Z | |
| dc.date.available | 2026-07-07T11:14:50Z | |
| dc.description | The structure of the reduced phase space arising in the Hamiltonian reduction of the phase space corresponding to a free particle motion on the group ${\rm SL}(2, {\Bbb R})$ is investigated. The considered reduction is based on the constraints similar to those used in the Hamiltonian reduction of the Wess--Zumino--Novikov--Witten model to Toda systems. It is shown that the reduced phase space is diffeomorphic either to the union of two two--dimensional planes, or to the cylinder $S^1 \times {\Bbb R}$. Canonical coordinates are constructed for the both cases, and it is shown that in the first case the reduced phase space is symplectomorphic to the union of two cotangent bundles $T^*({\Bbb R})$ endowed with the canonical symplectic structure, while in the second case it is symplectomorphic to the cotangent bundle $T^*(S^1)$ also endowed with the canonical symplectic structure. | |
| dc.description | 12 pages, LaTeX file, to be publised in Teor. Mat. Fiz | |
| dc.identifier | https://arxiv.org/abs/hep-th/9609030 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9609030 | |
| dc.identifier | Theor.Math.Phys.110:119-128,1997; Teor.Mat.Fiz.110:149-161,1997 | |
| dc.identifier | doi:10.1007/BF02630375 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/192210 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Hamiltonian reduction of free particle motion on group SL(2, ${\Bbb R}$) | |
| dc.type | text |