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 s
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
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Metadaten
Author:Andrei Ludu, Walter Greiner
URN:urn:nbn:de:hebis:30-25510
Document Type:Preprint
Language:English
Date of Publication (online):2006/04/03
Year of first Publication:1996
Publishing Institution:Univ.-Bibliothek Frankfurt am Main
Release Date:2006/04/03
Source:http://arxiv.org/abs/q-alg/9612004, Submitted Found. Phys.
HeBIS PPN:190459085
Institutes:Physik
Frankfurt Institute for Advanced Studies (FIAS)
Dewey Decimal Classification:530 Physik
Sammlungen:Universitätspublikationen
Licence (German):License Logo Veröffentlichungsvertrag für Publikationen

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