Nilpotent Classical Mechanics
| dc.creator | Frydryszak, Andrzej M | |
| dc.date | 2006-09-11 | |
| dc.date | 2007-03-28 | |
| dc.date.accessioned | 2026-07-07T11:27:38Z | |
| dc.date.available | 2026-07-07T11:27:38Z | |
| dc.description | The formalism of nilpotent mechanics is introduced in the Lagrangian and Hamiltonian form. Systems are described using nilpotent, commuting coordinates $η$. Necessary geometrical notions and elements of generalized differential $η$-calculus are introduced. The so called $s-$geometry, in a special case when it is orthogonally related to a traceless symmetric form, shows some resemblances to the symplectic geometry. As an example of an $η$-system the nilpotent oscillator is introduced and its supersymmetrization considered. It is shown that the $R$-symmetry known for the Graded Superfield Oscillator (GSO) is present also here for the supersymmetric $η$-system. The generalized Poisson bracket for $(η,p)$-variables satisfies modified Leibniz rule and has nontrivial Jacobiator. | |
| dc.description | 23 pages, no figures. Corrected version. 2 references added | |
| dc.identifier | https://arxiv.org/abs/hep-th/0609072 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0609072 | |
| dc.identifier | Int.J.Mod.Phys.A22:2513-2534,2007 | |
| dc.identifier | doi:10.1142/S0217751X07036749 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/196205 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Nilpotent Classical Mechanics | |
| dc.type | text |