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 GreinerGND |
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URN: | urn:nbn:de:hebis:30-25510 |
ArXiv Id: | http://arxiv.org/abs/9612004 |
Document Type: | Preprint |
Language: | English |
Date of Publication (online): | 2006/04/03 |
Year of first Publication: | 1996 |
Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
Release Date: | 2006/04/03 |
Source: | http://arxiv.org/abs/q-alg/9612004, Submitted Found. Phys. |
HeBIS-PPN: | 190459085 |
Institutes: | Physik / Physik |
Wissenschaftliche Zentren und koordinierte Programme / Frankfurt Institute for Advanced Studies (FIAS) | |
Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
Licence (German): | Deutsches Urheberrecht |