Model of a quantum particle in spacetime
| dc.creator | Naudts, Jan | |
| dc.creator | Kuna, Maciej | |
| dc.date | 2000-12-21 | |
| dc.date.accessioned | 2026-07-07T10:53:30Z | |
| dc.date.available | 2026-07-07T10:53:30Z | |
| dc.description | Doplicher, Fredenhagen, and Roberts (1994, 1995) proposed a simple model of a particle in quantum spacetime. We give a new formulation of the model and propose some small changes and additions which improve the physical interpretation. In particular, we show that the internal degrees of freedom e and m of the particle represent external forces acting on the particle. To obtain this result we follow a constructive approach. The model is formulated as a covariance system. It has projective representations in which not only the spacetime coordinates but also the conjugated momenta are two-by-two noncommuting. These momenta are of the form P_mu-(b/c)A_mu, where b is the charge of the particle. The electric and magnetic fields obtained from the vector potential A_mu coincide with the variables e and m postulated by DFR. Similarly, the spacetime position operators are of the form Q_mu-(al^2/hbar c) Omega_mu where a is a generalized charge, l a fundamental length, and with vector potentials Omega_mu which are in some sense dual w.r.t. the A_mu. | |
| dc.description | revtex, 8 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/0012209 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0012209 | |
| dc.identifier | J.Phys.A34:4227-4240,2001 | |
| dc.identifier | doi:10.1088/0305-4470/34/19/318 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/185503 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Mathematical Physics | |
| dc.title | Model of a quantum particle in spacetime | |
| dc.type | text |