Comments on Noncommutative Particle Dynamics
| dc.creator | Acatrinei, Ciprian | |
| dc.date | 2001-06-15 | |
| dc.date.accessioned | 2026-07-07T04:11:50Z | |
| dc.date.available | 2026-07-07T04:11:50Z | |
| dc.description | We discuss a version of Hamiltonian (2+1)-dimensional dynamics, in which one allows nonvanishing Poisson brackets also between the coordinates, and between the momenta. The resulting equations of motion are not any more derivable from a Lagrangian. However, taking a specific limit, in which the symplectic form becomes singular, one can recover a first-order Lagrangian description. This signals the dimensional reduction of the phase-space to half its initial number of degrees of freedom. We reach the same limit from another point of view, studying a particular form of the Poisson brackets, which is singled out geometrically and easy to handle algebraically. For comparison, a discussion of quantum mechanics with extended Heisenberg algebra is included. The quantum theory constrains the antisymmetric matrix providing the algebra to the above mentioned classically singular limit. | |
| dc.description | 12 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/hep-th/0106141 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0106141 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/50743 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Comments on Noncommutative Particle Dynamics | |
| dc.type | text |