Action-angle variables for dihedral systems on the circle
| Parent link: | Physics Letters A: Scientific Journal Vol. 374, iss. 46.— 2010.— [P. 4647–4652] |
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| 1. Verfasser: | |
| Weitere Verfasser: | , |
| Zusammenfassung: | Title screen A nonrelativistic particle on a circle and subject to a cos−2(kφ) potential is related to the two-dimensional (dihedral) Coxeter system I2(k), for k∈N. For such ‘dihedral systems’ we construct the action-angle variables and establish a local equivalence with a free particle on the circle. We perform the quantization of these systems in the action-angle variables and discuss the supersymmetric extension of this procedure. By allowing radial motion one obtains related two-dimensional systems, including A2, BC2and G2 three-particle rational Calogero models on R, which we also analyze. Режим доступа: по договору с организацией-держателем ресурса |
| Sprache: | Englisch |
| Veröffentlicht: |
2010
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| Online-Zugang: | http://dx.doi.org/10.1016/j.physleta.2010.09.047 |
| Format: | Elektronisch Buchkapitel |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=641561 |