Non-commutative mechanics, in mathematical & in condensed matter physics
| dc.creator | Horvathy, P. A. | |
| dc.date | 2006-09-22 | |
| dc.date | 2006-12-15 | |
| dc.date.accessioned | 2026-07-07T07:40:21Z | |
| dc.date.available | 2026-07-07T07:40:21Z | |
| dc.description | Non-commutative structures were introduced, independently and around the same time, in mathematical and in condensed matter physics (see Table~1). Souriau's construction applied to the two-parameter central extension of the planar Galilei group leads to the ``exotic'' particle, which has non-commuting position coordinates. A Berry-phase argument applied to the Bloch electron yields in turn a semiclassical model that has been used to explain the anomalous/spin/optical Hall effects. The non-commutative parameter is momentum-dependent in this case, and can take the form of a monopole in momentum space. | |
| dc.description | This is a contribution to the Proc. of the O'Raifeartaigh Symposium on Non-Perturbative and Symmetry Methods in Field Theory (June 2006, Budapest, Hungary), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/ | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0609571 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0609571 | |
| dc.identifier | SIGMA 2 (2006), 090, 9 pages | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/121749 | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Classical Physics | |
| dc.title | Non-commutative mechanics, in mathematical & in condensed matter physics | |
| dc.type | text |