Quasi-continuous symmetries of non-Lie type
We introduce a smooth mapping of some discrete space-time symmetries into quasi-continuous ones. Such transformations are related with q-deformations of the dilations of the Euclidean space and with the non-commutative space. We work out two examples of Hamiltonian invariance under such symmetries. The Schrodinger equation for a free particle is investigated in such a non-commutative plane and a connection with anyonic statistics is found. PACS: 03.65.Fd, 11.30.Er
| Author: | Andrei Ludu, Walter Greiner |
|---|---|
| URN: | urn:nbn:de:hebis:30-25510 |
| Document Type: | Preprint |
| Language: | English |
| Date of Publication (online): | 03.04.2006 |
| Year of first Publication: | 1996 |
| Publishing Institution: | Univ.-Bibliothek Frankfurt am Main |
| Source: | http://arxiv.org/abs/q-alg/9612004, Submitted Found. Phys. |
| HeBIS PPN: | 190459085 |
| Institutes: | Physik |
| Frankfurt Institute for Advanced Studies | |
| Dewey Decimal Classification: | 530 Physik |
| Sammlungen: | Universitätspublikationen |
| Licence (German): |  Veröffentlichungsvertrag für Publikationen ohne Print on Demand |
